Chapter 6.3, Problem 2STP

For Exercises $1-5,$ choose the correct letter.

The perimeter of a rectangle is 24 in. and its length $l$ is 3 times the width $w$.

What is the length and width $(l,w)$ of the rectangle?

F. $(3,9)$

G. $(14.4,4.8)$

H. $(12,4)$

I. $(9,3)$

To determine

To identify correct answer:The length and width (l,w) of the rectangle.

Answer to Problem 2STP

The answer is option I. (9,3).

Explanation of Solution

Given information:

Perimeter=24inch

Width=w

The length is three times of width

Therefore,

Length=3w

Formula used: $Perimeterofrectangle=2(l+w)$

We know that the perimeter of a rectangle is,

  $Perimeter=2(l+w)$

  $\begin{array}{l}\Rightarrow 24=2(l+w)\\ \Rightarrow 24=2(3w+w)\\ \Rightarrow 24=2(4w)\\ \Rightarrow 24=8w\\ \Rightarrow w=\frac{24}{8}\\ \Rightarrow w=3\\ \therefore width=3,\end{array}$

So, putting the value of w in length we get-

Length=3w

Length $=3\times 3=9$

Since, length =9 and width = 3.

So, option I. (9,3) is the answer.