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28 February, 02:02

The area of a trapezoid is calculated using the formula below, where A is the area of the trapezoid, b1 and b2 are the bases of the trapezoid, and h is the height of the trapezoid. Rewrite the formula to find the base b2.

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  1. 28 February, 02:19
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    2 (/frac{Area}{h}) - b1 = b2

    Step-by-step explanation:

    The formula for calculating the area of a trapezoid is the following.

    Area = / frac{b1+b2}{2} * h

    What we are asked to find is the formula for finding b2. We can do this by rearranging the Area formula and getting b2 by itself on one side.

    Area = / frac{b1+b2}{2} * h

    /frac{Area}{h} = / frac{b1+b2}{2} ... divide h on both sides

    2 (/frac{Area}{h}) = b1+b2 ... multiply 2 on both sides

    2 (/frac{Area}{h}) - b1 = b2 ... subtract b1 on both sides

    Now we have b2 by itself on one side and the formula is rewritten to solve for b2.
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