Chapter 14.6, Problem 2GP

To determine

To Find:Length of the park.

Answer to Problem 2GP

  $2x+3$

Explanation of Solution

Given: Total area of the garden in the expression is $8x^2+12x$ and width of the park is $4x$

  

Given: Total area $8x^2+12x$

Width = $4x$

We know that the area of the rectangle is

  $A=L\times W$

Thus

  $\begin{array}{l}8x^2+12x=L\times 4x\\ L=\frac{8x^2+12x}{4x}\\ \end{array}$

Writing as rational expression and dividing we get

  $\begin{array}{l}L=\frac{8x^2+12x}{4x}\\ L=\frac{8x^2}{4x}+\frac{12x}{4x}\\ L=2x+3\end{array}$

Hence the length of the park is $2x+3$