Question

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.

Answer 1

Formula

$\text{Area}=\dfrac{(b1 + b2)*h}{2}$  Multiply both sides by 2

2*Area = (b1 + b2)*h                  divide by h

$\dfrac{2*Area}{h} - b1 = \text{ b2}$   Subtract b1 from both sides

This can be written as  

$\dfrac{2*Area - b1*h}{h} = \text{ b2}$

Answer 2

Answer:

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

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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