Question

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A composite shape is drawn, starting with a horizontally aligned rectangle. There is no measurement across the top, and the right side is labeled with a question mark. A horizontally aligned rectangular area marked as 8 feet in length and unknown in width is removed from the bottom left of the original rectangle. The remaining length on the right side is 2 feet. The remaining width on the left side is 3 feet. Corners are marked with right angles.

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?(1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the length of the side labeled with the question mark, we need to calculate the total area of the composite shape.

The original rectangle has a length of 3 feet and a width of 2 feet, so its area is 3 feet * 2 feet = 6 square feet.

Then, the rectangular area removed from the bottom left has a length of 8 feet and an unknown width, but we know its area is 8 square feet.

Therefore, the total area of the composite shape is 6 square feet + 8 square feet = 14 square feet.

Since the total area of the supply closet is 36 square feet, we subtract the area of the remaining composite shape from the original area: 36 square feet - 14 square feet = 22 square feet

Now we need to find the width of the side labeled with the question mark. The width of the remaining shape on the right is 2 feet, and the width of the removed rectangle was unknown, so the total width is 2 feet + x (unknown width) = 22 square feet divided by 8 feet = 2.75 feet

Therefore, the side labeled with the question mark has a length of 2.75 feet.