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To calculate the volume of the pool, multiply the dimensions: (3 \text{ ft} \times 12 \text{ ft} \times 3 \text{ ft} = 108 \text{ cubic feet}). Since there are approximately 7.48 gallons in a cubic foot, the total volume in gallons is (108 \times 7.48 \approx 808.64 \text{ gallons}). To convert gallons to liters, use the conversion factor of 1 gallon being approximately 3.785 liters, resulting in about (808.64 \times 3.785 \approx 3,060 \text{ liters}). Thus, the pool holds approximately 3,060 liters of water.

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4mo ago

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What is the length and width of a rectangle if the perimeter is 32 feet and the area is 48 square feet?

Length is 12ft, width is 4 ft. 2 x (length + width) = perimeter = 32 ft ⇒ length = 16ft - width [1] length x width = area = 48 sq ft Using [1] above: ⇒ (16ft - width) x width = 48 sq ft multiplying out and rearranging: ⇒ width2 - 16 x width + 48 = 0 factorizing: ⇒ (width - 4)x(width - 12) = 0 Thus width = 4 or 12, so using [1] above: ⇒ width = 4ft, length = 16 - 4 = 12ft or width = 12ft, length = 16 - 12 = 4ft Convention is that the length is larger than the width, thus rectangle is 12ft long by 4 ft wide.


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