Question

Question

Question 13

Here is the area formula for a trapezoid: A=1/2h(b1+b2)
Rearrange the formula to solve for h.

(1 point)
Responses

h=2Ab1+b2
h is equal to the fraction with numerator 2 cap A and denominator b sub 1 plus b sub 2

h=12A(b1+b2)
h is equal to 1 half cap A open paren b sub 1 plus b sub 2 close paren
Skip to navigation

Answer 1

To rearrange the formula for the area of a trapezoid $A=\frac{1}{2}h(b_1+b_2)$ to solve for $h$, follow these steps:

1. Multiply both sides by $2$ to eliminate the fraction:
   $2A=h(b_1+b_2)$

2. Divide by $(b_1+b_2)$ to isolate $h$:
   $h=\frac{2A}{b_1+b_2}$

Thus, the rearranged formula for $h$ is:

$$h=\frac{2A}{b_1+b_2}$$

So, the correct response is:
h is equal to the fraction with numerator 2A and denominator b1 + b2.