Question

Hello! I'm unsure of my answer. I think it should be b but it might be d or

Answer 1

Given:

$A=\frac{1}{2}h(b_1+b_2)$

To determine h, we first multiply both sides by 2:

$\begin{gathered} A(2)=\frac{1}{2}h(b_1+b_2)(2) \\ Simplify \\ 2A=h(b_1+b_2) \end{gathered}$

Next, we divide both sides by (b1+b2):

$\begin{gathered} \frac{2A}{(b_1+b_2)}=\frac{h(b_1+b_2)}{(b_1+b_2)} \\ Simplify\text{ and rearrange} \\ \frac{2A}{(b_1+b_2)}=h \\ h=\frac{2A}{b_1+b_2} \end{gathered}$

Therefore, the answer is:

$h=\frac{2A}{b_{1}+b_{2}}$