More Lessons for Algebra

Math Worksheets

Videos, worksheets, solutions, and activities to help Algebra students learn how to solve word problems that involve perimeter.

Perimeter Word Problem

Example: The length of a rectangle is 8 cm more than 3 times its width. The perimeter of the rectangle is 64 cm. Find the area of the rectangle.

Examples:

(1) A rectangle is three times as long as it is wide. If the perimeter is 62 cm, what is the length?

(2) The width of a rectangle is 6 cm less than the length. If the perimeter is 52 cm, what is the width?

Example: Patrick's bike ride follows a triangular path; two legs are equal, the third is 8 miles longer than each of the other legs. If Patrick rides 30 miles total, what is the length of the longest leg?

Example: The perimeter of a triangle is 56 cm. The first side is 6 cm shorter than the second side the third side is 2 cm shorted than twice the length of the first side. What is the length of each side?

Writing an equation and finding the dimensions of a rectangle knowing the perimeter and some information about the about the length and width.

Example: The width of a rectangle is 3 feet less than its length. The perimeter of the rectangle is 110 feet. Find the dimensions.

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.