the perimeter of a square window is 18 feet 8 inches. Find the area of the window in a square inches and in square feet.
To find the area of the window, we first need to calculate the length of one side of the square window.
Given: Perimeter of the square window = 18 feet 8 inches.
To convert the inches to feet, we need to divide by 12 since there are 12 inches in 1 foot.
18 feet + (8 inches / 12) feet = 18.67 feet (rounded to two decimal places)
Since the perimeter of a square is four times the length of one side, we can divide the perimeter by 4 to find the length of one side.
Length of one side = 18.67 feet / 4 = 4.67 feet (rounded to two decimal places)
To find the area of the square window, we square the length of one side.
Area = (4.67 feet)² = 21.72 square feet (rounded to two decimal places)
To convert this area to square inches, we need to multiply by the conversion factor, which is 144 (since there are 12 inches in 1 foot, so 1 square foot is equal to 12 inches x 12 inches = 144 square inches).
Area in square inches = 21.72 square feet x 144 square inches/square foot = 3,131.68 square inches (rounded to two decimal places)
Therefore, the area of the window is approximately 21.72 square feet and 3,131.68 square inches.
18ft8in = 224in
So, one side is 56in
area = 56^2 in^2
Now convert that to ft^2