Chapter 8, Problem 13CT

To determine

To calculate: the area of the campgroundwith the help of given information.

Answer to Problem 13CT

The area of the campground is $12x^2+13x-14$

Explanation of Solution

Given information:

Consider the length of rectangular campground $=4x+7$

Width of rectangular campground $=3x-2$

Calculation:

Area of the campground

  $=$ Length $\times$ width

  $\begin{array}{l}=(4x+7)(3x-2)\\ =4x(3x-2)+7(3x-2)\left(\text{ Using distributive property}\right)\\ =4x(3x)+4x(-2)+7(3x)+7(-2)\left(\text{Distribute the }4x\text{ and }7\right)\\ =12x^{1+1}-8x+21x-14\left(\text{Multiply the coeffiecient}\right)\\ =12x^2+13x-14 \end{array}$

Therefore, the area of the campground is $12x^2+13x-14$