Question

112Calculate and simplify as much as possible theperimeter and area of the largest figure. All four-sided figures are rectangles.9Perimeter =рArea =

Answer 1

SOLUTION:

Step 1:

In this question, we are meant to solve the following:

Step 2:

The perimeter of the largest figure is:

$\begin{gathered} Length\text{ + Width + Length + Width} \\ =\text{ ( 12 + p ) + q + ( 12 + p ) + q} \\ =\text{ 24 + 2p + 2q} \\ =\text{ 24 + 2 ( p + q)} \end{gathered}$

On the other hand, the area of the largest figure is:

$\begin{gathered} \text{Length x Width} \\ =\text{ ( 12 + p ) x q} \\ =\text{ ( 12 + p )q} \end{gathered}$