#### Answer

The area of the trapezoid is $94.5cm^2$.

#### Work Step by Step

The formula for the area of the trapezoid is:
$A=1/2h(b1+b2)$
$b1=$ the top base of the trapezoid
$b2=$ the bottom base of the trapezoid
The $height$ in this problem is $7$
$Base 1$ in this problem is $12$
$Base 2 $ in this problem is $15$
We just need to plug in the numbers into the formula.
$A=1/2 (7)(7+15)$
$A=1/2(7)(27)$
$A=94.5$
The area of the trapezoid is $94.5cm^2$