Answer:
28 square inches.
Step-by-step explanation:
Notice that the yellow area is a compound area. Its height is 10 inches.
We can divide this area in three figures, one rectangle and two squares, where the square sides are 2 inches long.
So, the area of the squares is
\(A_{squares}=(2in)^{2} +(2in)^{2}=4in^{2} +4in^{2} =8in^{2}\)
On the other hand, the rectangle has a height of 10 inches, and its base is 2 inches long. So its area is
\(A_{rectangle}=(10in)(2in)=20in^{2}\)
Therefore, the yellow area is
\(A_{yellow}=A_{squares} +A_{rectangle}=8in^{2} +20in^{2} =28in^{2}\)
So, the answer is 28 square inches.
