Perimeter of Triangles and Rectangles


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Rectangle HYGT has a perimeter of 170 inches. If the height is 10x - 7 and the width is 6x + 12, how wide is the rectangle?

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1. Triangle POX has a perimeter of 15 inches. Side PO is 2 less than x, an unknown number. Side OX is 2 greater than x, and side PX can be expressed as 2x - 5. Find the length of each side of triangle POX (in the order PO, OX, PX).

2. Jeremy's goal is to jog around the neighborhood park four times. If the park has four sides and each side is 100 meters, how many meters will Jeremy jog?

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About This Quiz & Worksheet

The perimeter of a triangle or a rectangle can be calculated using measurements of the sides of these shapes. This quiz/worksheet combo will help you to test your understanding of how to perform these calculations using equations and variables.

Quiz & Worksheet Goals

In these assessments, you'll be tested on topics such as:

  • How to calculate the width of a rectangle if you are given the perimeter and length
  • How to use multiplication to determine the perimeter
  • How to calculate the perimeter of a triangle if you know the length of the sides

Skills Practiced

  • Problem solving - use acquired knowledge to solve practice problems that involve calculating the perimeter of triangles and rectangles
  • Critical thinking - apply relevant concepts to figure out the lengths of the sides of a triangle or rectangle if you are given the perimeter
  • Information recall- access the knowledge you've gained regarding equations using variables
  • Knowledge application - use your knowledge to answer questions with real-life applications

Additional Learning

To learn more about perimeter, review the accompanying lesson titled Perimeter of Triangles and Rectangles. This lesson covers the following objectives:

  • Understand how to create your own equations based on the information given
  • Define the term congruent sides
  • Know when to use addition or multiplication to calculate perimeter
  • Understand how to work backwards and calculate the length of the sides when given the perimeter