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
Skip to navigation
To find the area of the swimming pool, we need to find the area of the original rectangle and subtract the area of the rectangle that was removed.
The area of the original rectangle is length times width: 8 yards x 7 yards = 56 square yards.
The area of the rectangle that was removed is 3 yards x unknown length. However, we know that the remaining width along the bottom right is 3 yards. This means the length of the rectangle that was removed must also be 3 yards.
Therefore, the area of the rectangle that was removed is 3 yards x 3 yards = 9 square yards.
Finally, we can find the area of the swimming pool by subtracting the area of the rectangle that was removed from the area of the original rectangle:
Area of swimming pool = Area of original rectangle - Area of rectangle that was removed
= 56 square yards - 9 square yards
= 47 square yards
So, the area of the swimming pool is 47 square yards.