Question

what is the area of this isosceles trapezoid? 96 square units 72 square units 48 square units 60 square units

Explanation:

Step1: Identify base lengths and height

The upper - base $a = 6$, the lower - base $b=6 + 3+3=12$, and height $h = 8$.

Step2: Use trapezoid area formula

The area formula of a trapezoid is $A=\frac{(a + b)h}{2}$. Substitute $a = 6$, $b = 12$, and $h = 8$ into the formula: $A=\frac{(6 + 12)\times8}{2}$.

Step3: Calculate the area

First, calculate the sum of the bases: $6+12 = 18$. Then, multiply by the height: $18\times8=144$. Finally, divide by 2: $\frac{144}{2}=72$. So the area of the trapezoid is 60 square units.

Answer:

D. 60 square units