Chapter 8.5, Problem 44PPE

To determine

To find: the dimensions of rectangular skateboard park.

Answer to Problem 44PPE

The dimensions of the desk are $\left(x+9\right)$ and $\left(x+6\right)$ .

Explanation of Solution

Given:

The area of rectangular skateboard park is $x^2+15x+54$ .

Calculation:

Consider the length and width of rectangular desk is l and b respectively.

Factorize the area as follows:

  $\begin{array}{c}A=x^2+15x+54\\ lb=x^2+9x+6x+54\left(54x^2=\left(9x\right)\left(6x\right)\right)\\ lb=x\left(x+9\right)+6\left(x+9\right)\\ lb=\left(x+9\right)\left(x+6\right)\end{array}$

Correlate the factors with the length and width or the rectangular desk.

Thus, the dimensions of the desk are $\left(x+9\right)$ and $\left(x+6\right)$ .