\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}\( | \)

To find the amount of tarp needed to cover a trapezoid-shaped outdoor pool, we need to calculate the area of the trapezoid. The formula for the area of a trapezoid is: \[ \text{Area} = \frac{1}{2} \times (a + b) \times h \] where: - \( a \) is the length of the shorter base (8 feet), - \( b \) is the length of the longer base (12 feet), - \( h \) is the height of the trapezoid (10 feet). Substitute the given values into the formula to find the area of the trapezoid. Calculate the value by following steps: - step0: Calculate: \(\frac{1}{2}\left(8+12\right)\times 10\) - step1: Add the numbers: \(\frac{1}{2}\times 20\times 10\) - step2: Multiply the terms: \(10\times 10\) - step3: Multiply the numbers: \(100\) The area of the trapezoid-shaped outdoor pool is 100 square feet. Therefore, 100 square feet of tarp is needed to cover the pool.