Question

Experts please please PLEASE answer this question ASAP! Due today.

Answer 1

The height of the given trapezoid is 7.5 m.

Step-by-step explanation:

Step 1:

The trapezoid's area is calculated by averaging the base lengths and multiplying it with the trapezoid's height.

The trapezoid's area, $A = \frac{b_{1}+b_{2}}{2} (h).$

Here $b_{1}$ is the lower base length and $b_{2}$ is the upper base length while h is the height.

Step 2:

In the given problem, $b_{1}=5 \mathrm{m}$ and $b_{2}=3 \mathrm{m}$. Assume the height is h m.

The trapezoid's area $= 30.$

$30 = \frac{5+3}{2} (h), 30 = (4)(h).$

$h = \frac{30}{4} = 7.5.$

So the height of the given trapezoid is 7.5 m.