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
65 square yards
65 square yards
56 square yards
56 square yards
44 square yards
44 square yards
30 square yards
30 square yards
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To solve this problem, we need to find the area of the swimming pool by subtracting the area of the rectangle that was removed from the original rectangle.
The original rectangle has a length of 8 yards and a width of 7 yards, so its area is 8 * 7 = 56 square yards.
The rectangle that was removed has a width of 3 yards and an unknown length. Since the remaining width along the bottom right is also 3 yards, we can determine that the length of the removed rectangle is also 3 yards. Therefore, the area of the removed rectangle is 3 * 3 = 9 square yards.
To find the area of the swimming pool, we subtract the area of the removed rectangle from the area of the original rectangle: 56 - 9 = 47 square yards.
Therefore, the area of the swimming pool is 47 square yards.