Chapter 9.4, Problem 34PPE

To determine

To calculate: The dimension of the walkway and the area of the walkway and the pond.

Explanation of Solution

Given Information:

Given measurement of the pond is 6 ft by 8 ft.

Calculation:

Consider the given measurement of the pond is 6 ft by 8 ft.

Now, find the dimension of the walkway.

  $\begin{array}{c}\text{dimension}=2\left(8x+6x+2x^2\right)\\ =28x+4x^2\end{array}$

Now, find the area of the pond and the walkway.

  $\begin{array}{c}\text{area}=\left(8+2x\right)\left(6+2x\right)\\ =48+16x+12x+2x^2\\ =2x^2+28x+48\end{array}$

Hence the required dimension of the walkway is $28x+4x^2$ and the area is $2x^2+28x+48$ .