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GabbyLandry
29.06.2019 •
Mathematics
The area of a trapezoid is 132 cm 2. the height is 12cm and the length of one of the parallel sides is 9cm. find the length of the second parallel side. express your answer as a simplified fraction or a decimal rounded to two places.
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Ответ:
Answer
Find out the length of the second parallel side.
To prove
Formula
Where a , b are the parallel sides of trapezoid and h is the height of the trapezoid.
As given
The area of a trapezoid is 132 cm².
The height is 12cm and the length of one of the parallel sides is 9cm.
Here h = 12cm
a = 9cm
Put in the formula
132 × 2 = 9 × 12 + 12b
264 = 108 + 12b
264 - 108 = 12b
156 = 12b
b = 13cm
Therefore the length of the second parallel side is 13cm.
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