To find the area of the composite shape (which represents the swimming pool), we will first calculate the area of the whole rectangle and then subtract the area of the removed rectangle.
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Area of the original rectangle:
- Given dimensions: Length = 8 yards, Width = 7 yards.
- Area = Length × Width = 8 yards × 7 yards = 56 square yards.
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Area of the removed rectangle:
- We know the width of the removed rectangle is 3 yards.
- The remaining width along the bottom right of the original rectangle is also 3 yards. Since the original width of the rectangle is 7 yards, the width of the removed rectangle can be considered as follows:
- Total width of the original rectangle = 7 yards.
- Width remaining on the right = 3 yards.
- Thus, the width of the removed rectangle = Total width - Width remaining = 7 yards - 3 yards = 4 yards.
- The height (length) of the removed rectangle is 3 yards (the same as its width).
- Area of the removed rectangle = Width × Length = 3 yards × 4 yards = 12 square yards.
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Remaining area of the swimming pool:
- Remaining area = Area of the original rectangle - Area of the removed rectangle
- Remaining area = 56 square yards - 12 square yards = 44 square yards.
The area of the swimming pool is 44 square yards.
So, the correct response is:
44 square yards.