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
44 square yards
44 square yards
30 square yards
30 square yards
65 square yards
65 square yards
56 square yards
56 square yards
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The area of the swimming pool can be calculated by first finding the area of the original shape (rectangle) and then subtracting the area of the shape that was removed (smaller rectangle).
Area of original shape = 8 yards x 7 yards = 56 square yards
Area of removed shape = 3 yards x the length of the smaller rectangle (which is the same as the length of the original shape) = 3 yards x 8 yards = 24 square yards
Area of swimming pool = 56 square yards - 24 square yards = 32 square yards
Therefore, the area of the swimming pool is 32 square yards.