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
65 square yards
65 square yards
56 square yards
56 square yards
30 square yards the closesd
The area of the original rectangle (8 yards by 7 yards) is 8 yards * 7 yards = 56 square yards.
The area of the smaller rectangle (3 yards by unknown length) is 3 yards * x yards = 3x square yards.
Since the remaining width along the bottom right is 3 yards, the unknown length of the smaller rectangle must be 7 yards - 3 yards = 4 yards.
Therefore, the area of the smaller rectangle is 3 yards * 4 yards = 12 square yards.
Since the smaller rectangle is removed from the original rectangle, the area of the swimming pool shape is 56 square yards - 12 square yards = 44 square yards.
Therefore, the area of the swimming pool is 44 square yards.