Question

type the correct answer in the box.
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 ).

Explanation:

Step1: Divide both sides by h

To isolate the fraction containing \( b_1 \) and \( b_2 \), we divide both sides of the equation \( A = \frac{b_1 + b_2}{2} \cdot h \) by \( h \) (assuming \( h
eq 0 \)). This gives us \( \frac{A}{h} = \frac{b_1 + b_2}{2} \).

Step2: Multiply both sides by 2

Next, we multiply both sides of the equation \( \frac{A}{h} = \frac{b_1 + b_2}{2} \) by 2 to eliminate the denominator on the right - hand side. So, \( 2\times\frac{A}{h}=\ b_1 + b_2 \), which simplifies to \( \frac{2A}{h}=b_1 + b_2 \).

Step3: Subtract \( b_1 \) from both sides

To solve for \( b_2 \), we subtract \( b_1 \) from both sides of the equation \( \frac{2A}{h}=b_1 + b_2 \). This gives us \( b_2=\frac{2A}{h}-b_1 \).

Answer:

\( \boldsymbol{\frac{2A}{h}-b_1} \)