Chapter 4.6, Problem 23STP

To determine

If the width of poster is $\left(x\right)$ and $\left(y\right)$ is length of poster. Then which equation will represents how much border a person will use if he doubles the length and width of a poster.

Answer to Problem 23STP

Equation C having value $4\left(x+y\right)$ .

Explanation of Solution

Given:It is given that length of poster is $\left(y\right)$ and width of poster is $\left(x\right)$ .

Calculation: For a poster having length $\left(y\right)$ and width $\left(x\right)$ , the perimeter is $2\left(x+y\right)$ .

Now, if both length and width are doubled then perimeter is evaluated as,

  $\begin{array}{c}\text{Perimeter of poster}=2\left(2x+2y\right)\\ =4\left(x+y\right)\end{array}$

Hence, the perimeter of poster doubles on doubling the length and width. So option C is correct.