Question

The following is the formula for finding the area (A) of a trapezoid with height (h) and bases (b1) and (b2). A = 1/2h(b1 + b2) Which shows the formula correctly solve for the height in terms of the two bases?
A. h = 1/2A(b1 + b2)
B. h = 2A/b1 + b2
C. h = 2A - b1 - b2
D. h = A/2(b1 + b2)

Answer 1

Answer:

Correct choice: B

Step-by-step explanation:

Equation Solving

The area of a trapezoid with height h and bases b1 and b2 is given by:

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

We must solve this formula for h.

First, multiply by 2 to eliminate denominators:

$\displaystyle 2A=h(b_1+b_2)$

Now, divide by b1+b2:

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

Swapping sides:

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

Correct choice: B