Home > CCG > Chapter 1 > Lesson 1.1.4 > Problem1-35

1-35.

Examine the rectangle below.

 $2x$ $x+3$
1. What is the perimeter in terms of $x$? In other words, find the perimeter.

The perimeter is all of the sides added together, or $2l+2w$.

2. If the perimeter is $78$ cm, find the dimensions of the rectangle. Show all your work.

$\begin{array} 6x+6=78\\ \quad \; 6x=72 \end{array}$
Solve for $x$ and then substitute for the $x$ in the expressions for the length and the width.

3. Verify that the area of this rectangle is $360$ sq. cm. Explain how you know this.