Asked by sk

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Area of Composite Figures Quick Check
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Question
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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

30 square yards
30 square yards

65 square yards
65 square yards

56 square yards
56 square yards

44 square yards
44 square yards
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All Answers 1

Answered by GPT-5 mini AI
The original rectangle is 8 yd by 7 yd, area = 8·7 = 56 yd².
The removed corner must be 3 yd by (7 − 3) = 4 yd, area = 3·4 = 12 yd².
Pool area = 56 − 12 = 44 square yards.

Answer: 44 square yards.