Chapter 11.1, Problem 11PSB

To determine

To find : The dimensions of a rectangle with a given area

Answer to Problem 11PSB

The dimensions are $15\text{ m}$ and $9\text{ m}$

Explanation of Solution

Given information : The following information has been given

The sides are in the ration $3:5$

  $Area=135{\text{ m}}^2$

Formula used : The area of any rectangle will be

  $A=(lengt{h}_1)(widt{h}_1)$

Calculation : We assume the sides of the rectangle to be $3y$ and $5y$ . Now, we know that the area of any rectangle will be

  $A=(length)(width)$

Hence, substituting the values, we get

  $A=(3y)(5y)=15y^2$

But, we know that

  $A=135{\text{ m}}^2$

Hence, equation the two values we get

  $135{\text{ m}}^2=15y^2\to y=3\text{ m}$

Thus, we get the sides as

  $3y=9\text{ m}$ , and

  $5y=15\text{ m}$