Question

CALCULATOR COLOR THEME Q Q 4. Find the area of the shaded region. 4 in. 8 in. 4 in 12 in

Answer 1

We are asked to determine the area of the shaded region. there are two squares, to determine the area we need to find the area of the outer rectangle and subtract the area of the interior rectangle. Let's remember that the area of a rectangle is the product of its sides. Therefore, the area of the outer rectangle is:

`\begin{gathered} A_0=(8in)(12in) \\ A_0=96in^2 \end{gathered}`

Now we find the area of the interior rectangle:

`\begin{gathered} A_i=(4in)(4in) \\ A_i=16in^2 \end{gathered}`

Now we subtract the areas:

`A=A_o-A_i`

Replacing:

`\begin{gathered} A=96in^2-16in^2 \\ A=80in^2 \end{gathered}`

Therfore, the area of the shaded area is