Tessa designs a supply closet as an addition to her house. The closet is pictured and it total area is 36 square ft. What is the length of feet of the side of the supply closet labeled with the question mark
For the first rectangle, the height is 3 ft and the base is 8 ft.
The area of the first rectangle is:
3 ft * 8 ft = 24 square ft
Let the length of the side labeled with the question mark be x feet.
The second rectangle has a height of 2 ft and a length of x ft. The area of the second rectangle is:
2 ft * x ft = 2x square ft
The total area of the supply closet is 36 square ft, so:
24 square ft + 2x square ft = 36 square ft
2x = 36 - 24
2x = 12
x = 6
Therefore, the length of the side of the supply closet labeled with the question mark is 6 feet.
6 feet
The height of the first rectangle is 2ft and the base is 8ft
The second one has a height of 2ft
The total area of the supply closet is a combination of two rectangles.
The first rectangle has a height of 2 feet and a base of 8 feet, so the area is 2 ft * 8 ft = 16 square feet.
Let the length of the side labeled with the question mark be x feet.
The second rectangle has a height of 2 feet and a length of x feet, so the area is 2 ft * x ft = 2x square feet.
The total area of the supply closet is 36 square feet, so:
16 square feet + 2x square feet = 36 square feet
2x = 36 - 16
2x = 20
x = 10
Therefore, the length of the side of the supply closet labeled with the question mark is 10 feet.