Perimeter Equation Problems Worksheet

Perimeter is the distance all the way around the outside of a two-dimensional shape, and calculating it is a core fourth grade measurement standard. This Perimeter Equation Problems Worksheet asks students to solve a one-step equation for each side length first, and only then add those lengths together to find the perimeter. Because the measurements are hidden inside equations such as l = 18 + 7 cm or s = 96 ÷ 4 m, students combine computation with geometry instead of adding numbers that were handed to them.

Using this perimeter equation problems worksheet, students work through five labeled figures and two real-world word problems. In the first section they solve the equation printed beside each rectangle, square, triangle, or regular polygon, apply that side length to every matching side, and write the total perimeter on the answer line. Tick marks show which sides are congruent, so students practice reading a figure the way it will appear on a test. In the second section, students find how much edging a rectangular garden bed needs and decide whether a roll of tape is long enough to border a square bulletin board, explaining their reasoning in writing. A full answer key is included on the final page.

What’s Included

• One printable page with five labeled figures and two multi-step word problems
• Side lengths given as addition, subtraction, multiplication, and division equations
• Rectangles, squares, an equilateral triangle, and a regular pentagon
• A constructed-response item that asks students to explain how they know
• A complete answer key on the final page

This 4th grade perimeter worksheet helps students in three ways. First, it separates the two skills perimeter really requires — finding an unknown measurement, then adding around the figure — so a student who misses a problem can see exactly which step slipped. Second, it uses four different operations to supply the side lengths, which keeps basic fact fluency in play while the geometry is being taught. Third, the two word problems move the skill into a real setting, where perimeter is the amount of edging, fencing, or trim a job actually needs.

Teachers can use this page as independent practice after a perimeter lesson, as a warm-up before a measurement quiz, or as a small-group review for students who confuse perimeter with area. Parents can extend it at home by measuring the perimeter of a rug, a garden bed, or a picture frame with a tape measure and comparing the result to a drawn sketch. Ask students to explain out loud why every side has to be counted, and have them create one new equation problem of their own for a partner to solve.

Related Resources

• Perimeter Area Worksheet
• Perimeter Word Problems Worksheet
• Solving Perimeter Word Problems Worksheet
• Polygon Song Video