Square foot, or square footage, is an imperial unit of area measurement. The area of a two-dimensional shape is defined as the amount of space enclosed within the perimeter of the shape. The area of a square, rectangle, circle, etc. is measured in square units. The area of a two-dimensional object differs from one shape to the other, where we have different 2D objects of various shapes, such as squares, circles, kites, rectangles, parallelograms, etc. The area of an object is expressed quantitatively using SI-derived units like a square meter or by using various imperial units like square feet, square yards, acres, hectares, etc.
In this article, we will learn about the definition of a square foot and its conversion to other units.
What is Square Footage?
Square footage is a unit of measurement for the surface area. Square footage can be used to gauge the size of a room, a tile, a field, or a building project. Square footage is another name for square feet. The dimensions of the surface are measured in terms of feet. A surface’s square footage is measured in square feet or sq. ft., (ft)2. The formula for computing square footage varies depending on the surface’s shape, which can be determined by using various geometry formulae.
1 Square Foot = 1ft × 1ft
Square Footage Formulae
Square Footage Formula for a Circle
The radius (r) of the circle is used to compute the square footage formula for a circle. The formula for the square footage of a circle is expressed as:
Square footage of a circle = (Ï€ r2) sq. ft.
where “r” is the radius of the circle which is measured in feet
Square Footage Formula for a Triangle
To compute the square footage for a triangular surface, the base, and height of the triangle are multiplied, and then the result is multiplied by half. The formula for the square footage of a triangle is expressed as:
Square Footage of a triangle = [½ × Base × Height] sq. ft.
where base and height are measured in feet
Square Footage Formula for a rectangle
To compute the square footage of a rectangular surface, its length, and breadth are multiplied. Therefore, the formula for the square footage of a rectangle is expressed as:
Square Footage of a rectangle = [length × breadth] sq. ft.
where “length and breadth” are measured in feet
Square Footage Formula for a Square
We know that all sides are measured the same for a square, i.e., the length and breadth are equal. Therefore, the formula for the square footage of a square is expressed as:
Square Footage of a square = (side)2 sq. ft.
where “sides” of the square are measured in feet
Square Footage of a Parallelogram
To compute the square footage of a parallelogram, its length, and breadth are multiplied. Therefore, the formula for the square footage of a parallelogram is expressed as:
Square Footage of a parallelogram = [Base × Height] sq. ft.
where “base and height” are measured in feet
Square Footage of a Trapezoid
To compute the square footage of a trapezoid, we require the lengths of its parallel sides and the perpendicular distance between them. Therefore, the formula for the square footage of a trapezoid is expressed as:
Square Footage of a Trapezoid = [½ × h (a + b)] sq. ft
where,
- “h” is the Perpendicular distance between the parallel sides measured in feet
- “a” and “b” are the lengths of the parallel sides measured in feet
How to Calculate Square Foot?
Square Footage of any figure and shape can easily be calculated using the steps given below,
Step 1: Clearly mark the dimensions of the figure or shape for which you have to calculate square footage.
Step 2: Make sure all the dimensions are measured in feet if not convert them accordingly.
Step 3: Use the various formula for finding the area of the given figure.
Step 4: Add ft2 as the unit of the calculation in step 3.
How can Square Feet be Converted to Other Units?
Square Feet can be converted to other units with the help of the table given below. We need to carry out the required conversions from one unit to another while solving many problems to get the required calculations. The conversion of one unit to another unit of measurement for a given quantity is called a unit conversion. A given quantity can have different values when it is expressed in other units. The process of converting units involves multiple steps that include multiplication or division by a conversion factor. Now, let us see the conversion of square feet to other units of land measurement.
|
1
|
3.5870 × 10-8 square miles
|
|
1
|
0.000022956341 acres
|
|
1
|
0.000009290304 hectares
|
|
1
|
0.09290304 square meters
|
|
1
|
0.00229568411 cents
|
|
1
|
0.11111111 square yards
|
|
1
|
144 square inches
|
|
1
|
929.03040144 square centimeters |
We can learn about these conversions in detail further in this article,
Square Feet to Square Meters
To convert square feet to square meters, you need to multiply the given value by 0.09290 square meters, as we know that 1 square foot is approximately equal to 0.09290 square meters.
1 Square foot = 0.09290 square meters
n × 1 Square foot = n × 0.09290 square meters
How to Convert Square Feet to Square Meters?
To convert square feet to square meters, follow the steps given below:
Example: Convert 136 square feet to square meters.
Solution:
Step 1: First, we need to multiply 136 by 0.09290 square meters, i.e., 136 square feet ≈ 136 × 0.09290 square meters.
Step 2: Now, calculate the value.
136 square feet ≈ 136 × 0.09290 square meters
≈ 12.6348 square meters
Thus, the value of 136 square feet is approximately equal to 12.6348 square meters.
Square Foot to Acres
To convert square feet to acres, you need to multiply the given value by 0.00002296 acres, as we know that 1 square foot is approximately equal to 0.00002296 acres.
1 Square Foot ≈ 0.00002296 acres
n × 1 Square Foot ≈ n × 0.00002296 acres
How to convert Square Foot to Acres?
To convert square feet to acres, follow the steps given below:
Example: Convert 136 square feet to acres.
Solution:
Step 1: First, we need to multiply 136 by 0.00002296 acres, i.e., 136 square feet ≈ 136 × 0.00002296 acres.
Step 2: Now, calculate the value.
136 square feet ≈ 136 × 0.00002296 acres
≈ 0.00312256 acres
Thus, the value of 136 square feet is approximately equal to 0.00312256 acres.
Square Foot to Cents
To convert square feet to cents, you need to multiply the given value by 0.002296 cents, as we know that 1 square foot is exactly equal to 0.002296 cents.
1 Square Foot ≈ 0.002296 cents
n × 1 Square Foot ≈ n × 0.002296 cents
How to convert Square Foot to Cents?
To convert square feet to cents, follow the steps given below:
Example: Convert 136 square feet to cents.
Solution:
Step 1: First, we need to multiply 136 by 0.002296 cents, i.e., 136 square feet ≈ 136 × 0.002296 cents.
Step 2: Now, calculate the value.
136 square feet ≈ 136 × 0.002296 cents
≈ 0.312256 cents
Thus, the value of 136 square feet is approximately equal to 0.312256 cents.
Square Feet to Square Yards
To convert square feet to square yards, you need to multiply the given value by 0.11111111 square yards, as we know that 1 square foot is approximately equal to 0.11111111 square yards.
1 Square foot = 0.11111111 square yards
n × 1 Square foot = n × 0.11111111 square yards
How to Convert Square Feet to Square Yards?
To convert square feet to square yards, follow the steps given below:
Example: Convert 136 square feet to square yards.
Solution:
Step 1: First, we need to multiply 136 by 0.11111111 square yards, i.e., 136 square feet ≈ 136 × 0.11111111 square yards.
Step 2: Now, calculate the value.
136 square feet ≈ 136 × 0.11111111 square yards
≈ 15.11111 square yards
Thus, the value of 136 square feet is approximately equal to 15.11111 square yards.
Square Foot to Hectares
To convert square meters to acres, you need to multiply the given value by 0.9290304 × 10-5 hectares, as we know that 1 square foot is exactly equal to 0.9290304 × 10-5 hectares.
1 Square Foot = 0.9290304 × 10-5 hectares
n × 1 Square Foot = n × 0.9290304 × 10-5 hectares
How to Convert Square Feet to Hectares?
To convert square feet to hectares, follow the steps given below:
Example: Convert 136 square feet to hectares.
Solution:
Step 1: First, we need to multiply 136 by 0.9290304 × 10-5 hectares, i.e., 136 square feet ≈ 136 × 0.9290304 × 10-5 hectares.
Step 2: Now, calculate the value.
136 square feet ≈ 136 × 0.9290304 × 10-5 hectares
≈ 0.00126348 hectares
Thus, the value of 136 square feet is equal to 0.00126 hectares.
Square Feet to Square Inches
To convert square feet to square inches, you need to multiply the given value by 144 square inches, as we know that 1 square foot is approximately equal to 144 square inches.
1 Square foot ≈ 144 square inches
n × 1 Square foot ≈ n × 144 square inches
How to Convert Square Feet to Square Inches?
To convert square feet to square inches, follow the steps given below:
Example: Convert 136 square feet to square inches.
Solution:
Step 1: First, we need to multiply 136 by 144 square inches, i.e., 136 square feet ≈ 136 × 144 square inches.
Step 2: Now, calculate the value.
136 square feet ≈ 136 × 144 square inches
≈ 19584 square inches
Thus, the value of 136 square feet is approximately equal to 19584 square inches.
Sample Problems
Problem 1: What is the total area (in square feet) of the hall, if the hall is in the shape of a square with each of its sides measuring 13 ft?
Solution:
Given,
Length of each side of the square hall = 13 ft
We have,
Square footage formula of a square = (side)2
= (13)2 = 169
Hence, the area of the square hall is 169 sq. ft.
Problem 2: What is the total area (in square feet) of the circular field if its radius is 15 ft? [Ï€ = 3.14]
Solution:
Given,
Radius of the circular field (r) = 15 ft
We have,
Square footage formula of a circle = πr2
= 3.14 × (15)2
= 3.14 × 225 = 706.5
Hence, the area of the circular field is 706.5 sq. ft.
Problem 3: Calculate the base length of a triangular surface whose total area and height are 240 sq. ft. and 20 ft., respectively.
Solution:
Given,
Total area of the triangular surface = 240 sq. ft
Height of the triangular surface = 20 ft.
We have,
Area of the triangular surface = ½ × base × height
⇒ 240 = 1/2 × b × 20
⇒ 10b = 240
⇒ b = 240/10 = 24 ft
Hence, the base length of the triangular surface is 24 ft.
Problem 4: Calculate the area or surface footage of a parallelogram whose base and height are 7 ft and 9 ft, respectively.
Solution:
Given,
Base of a parallelogram = 7 ft
Height of the parallelogram = 9 ft
We have,
Square footage formula for a parallelogram = base × height
= 7 × 9 = 63 sq. ft
Problem 5: Determine the length of the rectangular field if its area and breadth are 1800 sq. ft. and 40 ft.
Solution:
Given,
Square footage of the rectangular surface = 1800 sq. ft
Breadth = 40 ft
The square footage formula for rectangular surface = length × breadth
⇒ 1800 = l × 40
⇒ l = 1800/40 = 45 ft
Hence, the length of the rectangular field is 45 ft.
Problem 6: Determine the height of the trapezoid if its square footage is 480 sq. ft. and the lengths of its parallel sides are 12 ft and 18 ft, respectively.
Solution:
Given,
Square footage of a trapezoid = 480 sq. ft.
Lengths of its parallel sides are 12 ft and 18 ft
a = 12 ft and b = 18 ft
We know that,
Square Footage of a Trapezoid = [½ × h (a + b)] sq. ft.
⇒ 480 = 1/2 × h (12 + 18)
⇒ 480 = 1/2 × h × 30
⇒ 15h = 480
⇒ h = 480/15 = 32 ft
Hence, the height of the given trapezoid is 32 ft.
FAQs on Sqaure Foot
1. What is a Square Footage?
Square footage is a unit of measurement for the surface area. Square footage can be used to gauge the size of a room, a tile, a field, or a building project. Square footage is another name for square feet.
1 square foot = 1ft × 1ft
2. How to Convert Square Feet to Square Meters?
To convert square feet to square meters, you need to multiply the given value by 0.09290 square meters, as we know that 1 square foot is approximately equal to 0.09290 square meters.
1 square foot = 0.09290 square meters
3. How to Convert Square Feet to Cents?
To convert square feet to cents, you need to multiply the given value by 0.002296 cents, as we know that 1 square foot is exactly equal to 0.002296 cents.
1 Square Foot ≈ 0.002296 cents
4. What is Square Footage Formula for a Rectangle?
To compute the square footage of a rectangular surface, its length and breadth are multiplied. Therefore, the formula for the square footage of a rectangle is expressed as:
Square Footage of a rectangle = [length × breadth] sq. ft.
where length and breadth are measured in feet
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