\begin{tabular}{c|c} How much tarp is \\ needed to cover a \\ trapezoid shaped \\ outdoor pool with bases \\ of 8 feet and 12 feet and \\ a height of 10 feet? \end{tabular}\( | \)
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To find the area of the trapezoid-shaped pool cover, you can use the trapezoid area formula: \( A = \frac{1}{2} \times (b_1 + b_2) \times h \). With bases of 8 feet and 12 feet, and a height of 10 feet, the calculation would look like this: \( A = \frac{1}{2} \times (8 + 12) \times 10 = \frac{1}{2} \times 20 \times 10 = 100 \, \text{square feet} \). So, you'll need 100 square feet of tarp! When planning for your tarp, don’t forget to account for some overlap, especially if you want to secure it tightly around the pool. A few extra feet will help ensure it doesn’t blow off in a breeze or collect water in the middle! Be sure to choose a durable material that can withstand the elements, so your tarp lasts through countless pool parties.
