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The area of a trapezoid is calculated using the formula below, where [tex]A[/tex] is the area of the trapezoid, [tex]b_1[/tex] and [tex]b_2[/tex] are the bases of the trapezoid, and [tex]h[/tex] is the height of the trapezoid.

[tex]\[ A = \frac{b_1 + b_2}{2} \cdot h \][/tex]

Rewrite the formula to find the base [tex]b_2[/tex].

[tex]\[ b_2 = \][/tex]

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GinnyAnswer
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]
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