5. A trapezoid is \( 6 \frac{1}{2} \) feet tall. Its bases are 9.2 feet and 8 feet long. What is the area of the trapezoid?
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To find the area of the trapezoid, you can use the formula: \[ \text{Area} = \frac{1}{2} \times (b_1 + b_2) \times h \] where \( b_1 \) and \( b_2 \) are the lengths of the bases, and \( h \) is the height. In this case, the bases are \( 9.2 \) feet and \( 8 \) feet, and the height is \( 6.5 \) feet. Plugging in the values: \[ \text{Area} = \frac{1}{2} \times (9.2 + 8) \times 6.5 \] Calculating the bases: \[ 9.2 + 8 = 17.2 \] Now calculate the area: \[ \text{Area} = \frac{1}{2} \times 17.2 \times 6.5 = 8.6 \times 6.5 = 55.9 \] So, the area of the trapezoid is \( 55.9 \) square feet.