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
44 square yards
44 square yards
30 square yards
30 square yards
To calculate the area of the swimming pool, we first need to find the area of the original rectangle. This can be done by multiplying the length by the width: 8 yards x 7 yards = 56 square yards.
Next, we need to find the area of the smaller rectangle that was removed from the bottom left corner. The width of this rectangle is 3 yards, and the length is unknown.
The remaining width along the bottom right is 3 yards, so the length of the smaller rectangle is 7 yards (original width) - 3 yards (remaining width) = 4 yards.
The area of the smaller rectangle is 4 yards x 3 yards = 12 square yards.
To find the area of the swimming pool, we subtract the area of the smaller rectangle from the area of the original rectangle: 56 square yards - 12 square yards = 44 square yards.
Therefore, the area of the swimming pool is 44 square yards. So the correct answer is:
44 square yards