Square footage also known as square feet is a unit generally used to express the area of a surface. To find square feet, the length measurement in feet is multiplied by the width measurement in feet. This yields a product called the area, which is expressed in square feet or square footage. Let's look into the square footage formula in detail.
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Let's look into the below square footage formulas for different geometric figures.
1. Square Footage Formula for Rectangles and Squares
If the shape considered is a rectangle or a square then the square footage or the area is calculated by finding the product of the length and the width expressed in terms of feet.
Area of a Rectangle = Length × Width
In a square, the length is equal to its width or we can say every side of a square is equal in measure thus, the square footage where the side is in terms of feet will be calculated using the following formula,
Area of a Square = (Side)2
2. Square Footage Formula for Parallelogram
The area of a parallelogram can be calculated by multiplying its base times height both expressed in terms of the feet.
Area of a Parallelogram = Base × Height
3. Finding the Square Footage of a Triangle
There's a square feet formula for triangles that is just one step more than finding the area of a parallelogram.
Area of a Triangle = (1/2) × Base × Height
4. Square Footage Formula of a Circle
All you need to calculate the area or square footage of a circle is its radius in terms of feet. The area is expressed using the following formula,
Area of a Circle = πr2
Let's work out on some practical examples using Square Footage Formuls.
Solved Examples Using Square Footage Formula
Example 1:A rectangular room has dimensions of 10 feet by 11 feet. Calculate the square footage of the room.
Given: Length = 10 feet, Breadth = 11 feet
According to the Square Footage formula of a rectangle,
Area = Length × Breadth
By substituting the values we get,
Area = 10 × 11 = 110 square feet
Answer: Thus, the square footage of the room is 110.
Example 2:There are 16 boxes of tile with 8 tiles in each box. Each tile is 8 inches wide by 36 inches long. Calculate the square footage of tile I have using square footage formula.
Given: Dimensions of the tile = 8 inches × 36 inches
Using square footage formula, Area of a rectangle = Length × Breadth
Thus, are of each tile = 8 × 36 = 288 square inches
1 square foot = 12 in × 12 in = 144 square inches
Thus, 288 square inches = 2 square feet
Hence, the area of each tile is 2 square feet.
Since, there are 16 boxes of tiles with 8 tiles in each box where each tile measures 2 square feet,
Total square footage of tile = Number of boxes × Number of tiles in each box × Area of each tile
= 16 × 8 × 2
= 256 square feet
Answer: Thus, the total square footage of the tile is 256 square feet.