Chapter 1.4, Problem 67E

To determine

Tofind:the length of the rectangle using given width and perimeter of rectangle.

Answer to Problem 67E

Length is $9$ centimeter.

Explanation of Solution

Given:

A rectangle has width of $4$ centimeter.

Perimeter of $26$ centimeters.

Concept used:

The perimeter of the rectangle:

  $P=2\left(l+w\right)$ .

Where $l$ is length and $w$ is width.

Calculation:

According to the given:

A rectangle has width of $4$ centimeter.

Perimeter of $26$ centimeters.

Mathematically,

  $\begin{array}{l}w=4.\\ P=26.\end{array}$

The length can be finds out as:

Perimeter of the rectangle is:

  $P=2\left(l+w\right)$ .

By putting the given value:

  $\begin{array}{l}l+w=\frac{P}{2}.\\ l=\frac{P}{2}-w.\\ l=\frac{26}{2}-4.\\ l=9.\end{array}$

Hence, length is $9$ centimeter.