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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.

User Stokely
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2 Answers

11 votes

Answer:

2(\frac{Area}{h} ) - b1 = b2

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.

User Sayooj V R
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4 votes

9514 1404 393

Answer:

b2 = 2A/h -b1

Explanation:

The usual formula for the area of a trapezoid is ...


A=(1)/(2)(b_1+b_2)h

We can solve this for b2:


(2A)/(h)=b_1+b_2 \qquad\text{multiply by $(2)/(h)$}\\\\ (2A)/(h)-b_1=b_2 \qquad\text{subtract $b_1$}\\\\ \boxed{b_2=(2A)/(h)-b_1}

User Xiaopo
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