 # Word Problems given Perimeters

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Lesson Plans and Worksheets for Grade 3
Lesson Plans and Worksheets for all Grades

Videos, examples, and solutions to help Grade 3 students learn how to solve a variety of word problems with perimeter and how to use rectangles to draw a robot with specified perimeter measurements, and reason about the different areas that may be produced.

Common Core Standards: 3.MD.8, 3.G.1

New York State Common Core Math Grade 3, Module 7, Lesson 24, Lesson 25, Lesson 26, Lesson 27

Lesson 24 Homework

1. Brian draws a square with a perimeter of 24 inches. What is the width and length of the square?

2. A rectangle has a perimeter of 18 centimeters.
a. Estimate to draw as many different rectangles as you can that have a perimeter of 18 centimeters.
Label the width and length of each rectangle.
b. How many different rectangles did you find?
c. Explain the strategy you used to find the rectangles.

3. The chart below shows the perimeters of three rectangles.
a. Write possible widths and lengths for each given perimeter. Lesson 25 Homework

1. The robot below is made of rectangles. The side lengths of each rectangle are labeled. Find the perimeter of each rectangle and record it in the table on the next page.

Lesson 26 Homework

1. Use Rectangles A and B to answer the questions below.
a. What is the perimeter of Rectangle A?
b. What is the perimeter of Rectangle B?
c. What is the area of Rectangle A?
d. What is the area of Rectangle B?

2. Each student in Mrs. Dutra’s class draws a rectangle with whole number side lengths and a perimeter of 28 centimeters. Then they find the area of each rectangle and create the table below.
a. Give two examples to show how it is possible to have different areas for rectangles that have the same perimeter.
b. Did any students in Mrs. Dutra’s class draw a square? Explain how you know.
c. What are the side lengths of the rectangle that most students in Mrs. Dutra’s class made with a perimeter of 28 centimeters? Lesson 27 Homework

1. Record the perimeters and areas of the rectangles in the chart on the next page.
a. Find the area and perimeter of each rectangle.
b. What do you notice about the perimeters of Rectangles A, B, and C?
c. What do you notice about the perimeters of Rectangles D, E, and F?
d. Which two rectangles are squares? Which square has the greatest perimeter?

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