Question

What is the area of this face ?

Answer 1

If the Face was full. 4x10=40
Empty Space is 6x2=12
40-12=28
28 sq units.

Answer 2

28 square inches.

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.