To rewrite the given formula to find the base [tex]\( b_2 \)[/tex], we will isolate [tex]\( b_2 \)[/tex] on one side of the equation. Let's go through the steps one by one.
1. Start with the original formula for the area of the trapezoid:
[tex]\[
A = \frac{b_1 + b_2}{2} \cdot h
\][/tex]
2. To eliminate the fraction, multiply both sides of the equation by 2:
[tex]\[
2A = (b_1 + b_2) \cdot h
\][/tex]
3. Next, divide both sides of the equation by [tex]\( h \)[/tex] to isolate [tex]\( b_1 + b_2 \)[/tex]:
[tex]\[
\frac{2A}{h} = b_1 + b_2
\][/tex]
4. Finally, solve for [tex]\( b_2 \)[/tex] by subtracting [tex]\( b_1 \)[/tex] from both sides:
[tex]\[
b_2 = \frac{2A}{h} - b_1
\][/tex]
So, the formula to find the base [tex]\( b_2 \)[/tex] is:
[tex]\[
b_2 = \frac{2A}{h} - b_1
\][/tex]
