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the area of a trapezoid is calculated using the formula below, where a is the area of the trapezoid, ( b_1 ) and ( b_2 ) are the bases of the trapezoid, and h is the height of the trapezoid.
( a = \frac{b_1 + b_2}{2} cdot h )
rewrite the formula to find the base ( b_2 ).
( b_2 = )

Explanation:

Step1: Start with the trapezoid area formula

We have the formula for the area of a trapezoid: $A=\frac{b_1 + b_2}{2}\cdot h$. First, we want to isolate the term with $b_2$. To do this, we can divide both sides of the equation by $h$.
$\frac{A}{h}=\frac{b_1 + b_2}{2}$

Step2: Eliminate the denominator

Next, we multiply both sides of the equation by 2 to get rid of the fraction on the right - hand side.
$2\cdot\frac{A}{h}=b_1 + b_2$
Which simplifies to $\frac{2A}{h}=b_1 + b_2$

Step3: Solve for $b_2$

Finally, we subtract $b_1$ from both sides of the equation to solve for $b_2$.
$b_2=\frac{2A}{h}-b_1$

Answer:

$\frac{2A}{h}-b_1$