Question

The area of the trapezoid shown is 120 square centimeters. Find the sum of the lengths of the two parallel sides.

Answer 1

Answer:

D

Step-by-step explanation:

The area formula for a trapezoid is $A=\frac{b_1+b_2}{2}*h$, where $A$ is the trapezoid's area, $b_1$ and $b_2$ are the trapezoid's bases, or parallel sides, and $h$ is the trapezoid's height.

We are given that $A=120$, and from the diagram, we see that $h=8$. Therefore, all we have to do to find $b_1+b_2$ is substitute the given values into the area formula. Therefore:

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

$120=\frac{b_1+b_2}{2} *8$ (Substitute the given values into the equation)

$120=(b_1+b_2)*4$ (Simplify RHS)

$\frac{120}{4}=\frac{(b_1+b_2)*4}{4}$ (Divide both sides of the equation by $4$ to get rid of $b_1+b_2$'s coefficient)

$b_1+b_2=30$ (Simplify, Symmetric Property of Equality)

Hope this helps!

Answer 2

Its shows to me that it’s D