Questions: Use the formulas developed in this section to find the area of the figure. A= (Simplify your answer.)

Solution Steps

The figure is a trapezoid. The lengths of the two parallel sides are 15 m and 24 m. The height of the trapezoid is 8 m.

The area of a trapezoid is given by: \(A = \frac{1}{2}(b_1 + b_2)h\), where \(b_1\) and \(b_2\) are the lengths of the two parallel sides (bases) and \(h\) is the height.

In this case, \(b_1 = 15\) m, \(b_2 = 24\) m, and \(h = 8\) m. Substituting these values into the formula, we get: \(A = \frac{1}{2}(15 + 24)(8)\)

\(A = \frac{1}{2}(39)(8)\) \(A = (39)(4)\) \(A = 156\)

Final Answer