Chapter 8, Problem 30SGR

To determine

To calculate the area of the parking lot.

Answer to Problem 30SGR

  $10x^2+7x-12$

Explanation of Solution

Given:

  

Formula used:

Area of rectangle $\text{ = }l\times b$

Calculation:

From the given figure, the area of the parking lot is of a rectangle.

  $\text{Length of rectangle = }5x-4$

  $\text{Width of rectangle = 2}x+3$

Substituting the values from the figure to the formula of area of rectangle,

Area of rectangle $\text{ = }l\times b$

  $\begin{array}{c}\Rightarrow \text{(}5x-4)\times (\text{2}x+3)\\ \Rightarrow (5x\times 2x)+(5x\times 3)+(-4\times 2x)+(-4\times 3)\\ \Rightarrow 10x^2+15x-8x-12\\ \Rightarrow 10x^2+7x-12\end{array}$

Conclusion:

Therefore, $10x^2+7x-12$ is the area of the parking lot.