The shapes left side is 3 ft the shapes bottom is 8 ft and the other bottom is 2 feet Tessa designs a supply closet as an addition to her house. The closet is pictured, and its total area is 36 square feet. What is the length in feet of the side of the supply closet labeled with the question mark?
To find the length of the side labeled with the question mark, we need to first find the height of the supply closet.
Since the total area of the supply closet is 36 square feet, we can find the height by dividing the total area by the bottom length. Let's call the height of the supply closet h:
Area = (1/2) x base1 x height
36 = (1/2) x (8 + 2) x h
36 = 5h
h = 7.2 ft
Now, we can use the Pythagorean theorem to find the length of the side labeled with the question mark. Let's call this length x:
x^2 = 3^2 + 7.2^2
x^2 = 9 + 51.84
x^2 = 60.84
x = √60.84
x = 7.8 ft
Therefore, the length of the side labeled with the question mark is 7.8 feet.