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

B. h = 2A/b1 + b2

Explanation:

Answer 2

Correct choice: B

Explanation:

Equation Solving

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

`\displaystyle A=(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 (2A)/(b_1+b_2)=h`

Swapping sides:

`\displaystyle h=(2A)/(b_1+b_2)`

Correct choice: B