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
56 square yards
56 square yards
65 square yards
65 square yards
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44 square yards
To find the area of the swimming pool, first find the area of the original rectangle:
Area = length x width
Area = 8 yards x 7 yards
Area = 56 square yards
Next, subtract the area of the rectangle that was removed:
Area of removed rectangle = 3 yards x unknown length
Since the width along the bottom right is 3 yards, the length of the removed rectangle is 8-3 = 5 yards
Area of removed rectangle = 3 yards x 5 yards = 15 square yards
Finally, subtract the area of the removed rectangle from the original rectangle to find the area of the swimming pool:
Area of swimming pool = 56 square yards - 15 square yards = 41 square yards
Therefore, the area of the swimming pool is 41 square yards.