A trapezoid has base lengths of 10.5 units and 16 units. The height of the trapezoid is one-half as long as the longer base. What equation could be used to find the area of the trapezoid?ResponsesA A = 0.5 × (10.5 + 16)A = 0.5 × (10.5 + 16)B A = 0.5 × 0.5 × (10.5 + 16)A = 0.5 × 0.5 × (10.5 + 16)C A = 0.5 × 8 × (10.5 + 16) A = 0.5 × 8 × (10.5 + 16) D A = 0.5 × 8 × 16
Question
A trapezoid has base lengths of 10.5 units and 16 units. The height of the trapezoid is one-half as long as the longer base. What equation could be used to find the area of the trapezoid?ResponsesA A = 0.5 × (10.5 + 16)A = 0.5 × (10.5 + 16)B A = 0.5 × 0.5 × (10.5 + 16)A = 0.5 × 0.5 × (10.5 + 16)C A = 0.5 × 8 × (10.5 + 16) A = 0.5 × 8 × (10.5 + 16) D A = 0.5 × 8 × 16
Solution
The formula for the area of a trapezoid is A = 0.5 * (base1 + base2) * height. Given that the bases are 10.5 units and 16 units, and the height is half of the longer base (which is 16 units), the height is 8 units. Therefore, the equation to find the area of the trapezoid is A = 0.5 * (10.5 + 16) * 8. So, the correct answer is C: A = 0.5 * 8 * (10.5 + 16).
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