Calculating Area of a Trapezoid

A carpenter is tasked with building a decorative frame for a picture. The frame is designed to be a trapezoid. The top side of the frame measures 12 inches, the bottom side measures 8 inches, and the height of the frame is 5 inches. To find the area of the trapezoid-shaped frame, the carpenter uses the formula for the area of a trapezoid, which is given by:

$$ A = \f\frac{1}{2} \times (b_1 + b_2) \times h $$

where

• $$ b_1 $$ = length of the top base,
• $$ b_2 $$ = length of the bottom base, and
• $$ h $$ = height.

What is the area of the trapezoid-shaped frame?