Question

Find the shaded area. Hint: Please note that it is a larger rectangle with a smaller rectangle cut out of it. SHOW ALL WORK! 16 ft

Answer 1

It is important to know that the shaded area refers to the difference between the large rectangle and the smaller. So, let's find the area of each rectangle.

$\begin{gathered} A_{\text{large}}=bh=16ft\cdot12ft=192ft^2 \\ A_{\text{smaller}}=bh=12ft\cdot4ft=48ft^2 \end{gathered}$

Then, we subtract

$A_{\text{shaded}}=192ft^2-48ft^2=144ft^2$

Therefore, the area of the shaded region is 144 square feet.