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)
To find the area of the swimming pool, we need to calculate the area of the original rectangle and then subtract the area of the rectangle that was removed.
Area of the original rectangle:
Length = 8 yards
Width = 7 yards
Area = Length x Width
Area = 8 yards x 7 yards
Area = 56 square yards
Area of the removed rectangle:
Width = 3 yards
Length = unknown
The remaining width along the bottom right is 3 yards, so the removed rectangle was 7 yards long (since the original rectangle was 7 yards wide).
Area = Length x Width
Area = 7 yards x 3 yards
Area = 21 square yards
Now, to find the area of the swimming pool, we subtract the area of the removed rectangle from the area of the original rectangle:
56 square yards - 21 square yards = 35 square yards
Therefore, the area of the swimming pool is 35 square yards.