# Understand Area and Perimeter Formulas

Videos solutions to help Grade 4 students demonstrate understanding of area and perimeter formulas by solving multi-step real world problems.

Common Core Standards: 4.OA.1, 4.OA.2, 4.MD.3, 4.OA.3

## New York State Common Core Math Module 3, Grade 4, Lesson 3

### NYS Math Module 3 Grade 4 Lesson 3

Lesson 3 Concept Development

Problem 1
The projection screen in the school auditorium is 5 times as long and 5 times as wide as the screen in the library. The screen in the library is 4 feet long with a perimeter of 14 feet. What is the perimeter of the screen in the auditorium?
Problem 2
The width of David’s tent is 5 feet. The length is twice the width. David’s rectangular air mattress measures 3 feet by 6 feet. If David puts the air mattress in the tent, how many square feet of floor space will be available for the rest of his things?

Lesson 3 Homework

Solve the following problems. Use pictures, words, or diagrams to help you solve.
1. Katie cut out a piece of wrapping paper that was 2 times as long and 3 times as wide as the box that she was wrapping. The box was 5 inches long and 4 inches wide. What is the perimeter of the wrapping paper that Katie cut?
2. Alexis has a piece of red paper that is 4 centimeters wide. Its length is twice its width. She glues a piece of blue paper on top of the red piece measuring 3 centimeters by 7 centimeters. How many square centimeters of red paper will be visible on top?
3. Brinn’s kitchen has an area of 81 square feet. The kitchen is 9 times as many square feet as Brinn’s pantry. If the pantry is 3 feet wide, what is the length of the pantry?
4. The length of Marshall’s poster is 2 times its width. If the perimeter is 72 inches, what is the area of the poster?

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