Question

An exercise mat is $3.3$ times as long as it is wide. Write expressions in simplest form that represent the perimeter and the area of the exercise mat.

Answer 1

Hint: 1. Perimeter of rectangle $=2(l+w)$

2. Area of rectangle $=l\times w$

Step 1: Let the given mat is of rectangular shape

Let it is of length = $l$ units

Let it is of width = $w$ units

Step 2: According to given condition that is mat is $3.3$ times as long as it is wide we get:

$l=3.3w$

Step 3: Now perimeter

$$\begin{gathered} =2(l+w) \\ =2(3.3w+w)\{u\sin gl=3.3w\} \\ =2[3.3+1]w \\ =2(4.3w)=8.6w \end{gathered}$$

Perimeter = $8.6w$ units.

And

$$\begin{gathered} Area=l\times w \\ =3.3w\times w\{u\sin gl=3.3w\} \end{gathered}$$

Area = $=3.3w^2$square units

Hence,

Perimeter = $8.6$w units

Area = $=3.3w^2$square units.