QuestionAugust 25, 2025

The area of a trapezoid can be found using the formula (1)/(2)h(b_(1)+b_(2)) Find the area of a trapezoid with height h=300ft oft and bases b_(1)=250 ft and b_(2)=170 ft. typeyouranswer

The area of a trapezoid can be found using the formula (1)/(2)h(b_(1)+b_(2)) Find the area of a trapezoid with height h=300ft oft and bases b_(1)=250 ft and b_(2)=170 ft. typeyouranswer
The area of a trapezoid can be found using the formula (1)/(2)h(b_(1)+b_(2)) Find the area of a trapezoid with height h=300ft oft and bases b_(1)=250 ft and b_(2)=170 ft. typeyouranswer

Solution
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Answer

63000 ft² Explanation 1. Identify the formula The area of a trapezoid is given by **A = \frac{1}{2}h(b_{1}+b_{2})**. 2. Substitute values into the formula Substitute h = 300, b_{1} = 250, and b_{2} = 170 into the formula: A = \frac{1}{2} \times 300 \times (250 + 170). 3. Calculate the sum of the bases Calculate b_{1} + b_{2} = 250 + 170 = 420. 4. Compute the area Calculate A = \frac{1}{2} \times 300 \times 420 = 150 \times 420 = 63000.

Explanation

1. Identify the formula<br /> The area of a trapezoid is given by **$A = \frac{1}{2}h(b_{1}+b_{2})$**.<br />2. Substitute values into the formula<br /> Substitute $h = 300$, $b_{1} = 250$, and $b_{2} = 170$ into the formula: $A = \frac{1}{2} \times 300 \times (250 + 170)$.<br />3. Calculate the sum of the bases<br /> Calculate $b_{1} + b_{2} = 250 + 170 = 420$.<br />4. Compute the area<br /> Calculate $A = \frac{1}{2} \times 300 \times 420 = 150 \times 420 = 63000$.
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