If a rectangular swimming pool has a perimeter of 132 feet and is 21 feet wide, what is its area?
945 square feet
1890 square feet
2772 square feet
111 square feet
Detailed Explanation
The formula for the area of a rectangle is: Area = length × width = L × W We know the width of the pool, but not it's length. However, we also know the perimeter, which is the distance around a shape. For a rectangle, the perimeter is: Perimeter = 2L + 2W From this formula and the given values for width and perimeter, we may solve for L, and the Area of the pool afterwards. So for a rectangle with P = 132 feet and W = 21 feet, L will be: 132 = 2L + 2 × 21 132 = 2L + 42 132 - 42 = 2L 90 = 2L L = 45 Now that we know the length, we may proceed solving for the area of the pool: Area = 45 × 21 = 945 square feet
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