To find the area of the swimming pool shaped as described, we will first calculate the area of the original rectangle and then subtract the area of the smaller rectangle that is removed.
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Calculate the area of the larger rectangle:
- Length = 8 yards
- Width = 7 yards
- Area = Length × Width = 8 yards × 7 yards = 56 square yards
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Determine the dimensions of the smaller rectangle:
- The width of the smaller rectangle is given as 3 yards.
- The height of the smaller rectangle can be determined by observing the remaining width, which is also 3 yards at the bottom right after removing the 3-yard wide rectangle from the 7-yard width of the larger rectangle.
To find the height of the smaller rectangle:
- Height of the larger rectangle = 7 yards
- Remaining width at the bottom = 3 yards
- Thus, the height of the smaller rectangle = 7 yards - 3 yards = 4 yards.
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Calculate the area of the smaller rectangle:
- Width = 3 yards
- Height = 4 yards
- Area = Width × Height = 3 yards × 4 yards = 12 square yards
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Calculate the area of the swimming pool:
- Area of swimming pool = Area of larger rectangle - Area of smaller rectangle
- Area = 56 square yards - 12 square yards = 44 square yards
Therefore, the area of the swimming pool is 44 square yards.
The correct answer is 44 square yards.