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Aleks [24]
3 years ago
9

Find the missing b for a trapezoid with a=68, h=4, b=21

Mathematics
1 answer:
MAVERICK [17]3 years ago
4 0

We will have to use the formula for the area of a trapezoid on this problem, which is (b_1 and b_2 are the bases of the trapezoid and h is the height):

\dfrac{b_1 + b_2}{2} \cdot h


All we need to do is substitute the information we are given into our formula:

\dfrac{21 + b_2}{2} \cdot 4 = 68


Now, let's just simplify the equation:

\dfrac{21 + b_2}{2} \cdot 4 = 68

\dfrac{21 + b_2}{2} = 17

21 + b_2 = 34

b_2 = 13


The missing base has a length of 13 units.

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