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

65 square yards
65 square yards

30 square yards
30 square yards

44 square yards

1 answer

To find the area of the swimming pool, we need to find the area of the original rectangle (8 yards x 7 yards) and then subtract the area of the removed rectangle (3 yards x unknown length).

Area of original rectangle = 8 yards x 7 yards = 56 square yards
Area of removed rectangle = 3 yards x unknown length

The remaining width of the original rectangle is 7 yards - 3 yards = 4 yards, so the unknown length is also 4 yards.

Area of removed rectangle = 3 yards x 4 yards = 12 square yards

Now, subtract the area of the removed rectangle from the area of the original rectangle to find the area of the swimming pool:

56 square yards - 12 square yards = 44 square yards

Therefore, the area of the swimming pool is 44 square yards. The correct answer is:

44 square yards
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