Use the image to answer the question.

A composite shape is drawn with a rectangle and a square. All lines are straight and all corners are marked as right angles. The shape is made with a vertically aligned rectangle 8 yards in length and 7 yards in width. A horizontally aligned rectangle 3 yards wide and of unknown length is removed from the bottom left corner of the original rectangle. The remaining width along the bottom right is 3 yards.

Solve the following problem: A town has a swimming pool shaped as in the diagram.
What is the area of the swimming pool in square yards?

(1 point)
Responses

56 square yards
56 square yards

44 square yards
44 square yards

65 square yards
65 square yards

30 square yards

1 answer

In order to find the area of the swimming pool, we first need to find the area of the original shape (rectangle) and then subtract the area of the removed section (rectangle).

The area of the original rectangle is length * width = 8 yards * 7 yards = 56 square yards.

The area of the removed rectangle is 3 yards * 3 yards = 9 square yards.

Therefore, the area of the swimming pool is 56 square yards - 9 square yards = 47 square yards.

The closest answer choice is 44 square yards.
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