Chapter 1.6, Problem 38PPS

To determine

Find length and width of rectangle

Answer to Problem 38PPS

  Perimeter is 24 inches.

Explanation of Solution

Given information:

  Area of rectangle= 27 inches²

Calculation:

Let the width be x ,

According to question,

  $area=length\times breadth$

Substituting values,

  $27=3x(x)$

So,

  $3x^2=27$

Dividing by 3,

  $x^2=9$

Rooting,

  $\sqrt{x^2}=\sqrt{9}$

Hence, $x=3$

Width is 3 inches

And length is $3(3)$ = 9 inches .

  Perimeter is 2( length + breadth )

Substituting values,

  = $2(3+9)$

Solving,

  = $2\times 12$

Hence, perimeter is 24 inches.