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
65 square yards
65 square yards
56 square yards
56 square yards
44 square yards
44 square yards
30 square yards
The total area of the original rectangle is 8 yards x 7 yards = 56 square yards.
The horizontally aligned rectangle removed has a width of 3 yards. Therefore, the length of the bottom left corner is 7 yards - 3 yards = 4 yards.
The area removed is 3 yards x 4 yards = 12 square yards.
Therefore, the area of the swimming pool is 56 square yards - 12 square yards = 44 square yards.
The correct answer is 44 square yards.