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)

Question

3 years ago

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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)

Mathematics

1 answer:

charle [14.2K] · Answer 1 · 2022-03-21T20:51:19+03:00

Answer:

<em>Correct choice: B</em>

Step-by-step explanation:

<u>Equation Solving</u>

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