# Multiplicative Comparison Word Problems

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Lesson Plans and Worksheets for Grade 4
Lesson Plans and Worksheets for all Grades

Examples, solutions, and videos to help Grade 4 students learn how to solve multiplicative comparison word problems by applying the area and perimeter formulas.

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

### NYS Math Module 3 Grade 4 Lesson 2 Concept Development

Problem 1: A rectangle is 1 inch wide. It is 3 times as long as it is wide. Use square tiles to find its length.
Problem 2: A rectangle is 2 meters wide. It is 3 times as long as it is wide. Draw to find its length.
Problem 3: Christine painted a mural with an area of 18 square meters and a length of 6 meters. What is the width of her mural? Her next mural will be the same length as the first but 4 times as wide. What is the perimeter of her next mural?
Problem 4: Sherrie’s rectangular garden is 8 square meters. The longer side of the garden is 4 meters. Nancy’s garden is twice as long and twice as wide as Sherrie’s rectangular garden.

### NYS Math Module 3 Grade 4 Lesson 2 Problem Set

1. A rectangular is 1 inch wide. It is 3 times as long as it is wide.
a. Label the diagram with the dimensions of the porch.
b. Find the perimeter of the porch. 3. The area of a rectangle is 42 square centimeters. Its length is 7 centimeters.
a. What is the width of the rectangle?
b. Charlie wants to draw a second rectangle that is the same length but is 3 times as wide. Draw and label Charlie’s second rectangle.
c. What is the perimeter of Charlie’s second rectangle?

### NYS Math Module 3 Grade 4 Lesson 2 Homework

1. A rectangular pool is 7 feet wide. It is 3 times as long as it is wide.
a. Label the diagram with the dimensions of the pool.
b. Find the perimeter of the pool.

2. A poster is 3 inches long. It is 4 times as wide as it is long.
a. Draw a diagram of the bumper sticker and label its dimensions.
b. Find the perimeter and area of the bumper sticker.

3. The area of a rectangle is 36 square centimeters and its length is 9 centimeters.
a. What is the width of the rectangle?
b. Elsa wants to draw a second rectangle that is the same length but is 3 times as wide. Draw and label Elsa’s second rectangle.
c. What is the perimeter of Elsa’s second rectangle?

4. The area of Nathan’s bedroom rug is 15 square feet. The longer side measures 5 feet. His living room rug is twice as long and twice as wide as the bedroom rug.
a. Draw and label a diagram of Nathan’s bedroom rug. What is its perimeter?
b. Draw and label a diagram of Nathan’s living room rug. What is its perimeter?
c. What is the relationship between the two perimeters?
d. Find the area of the living room rug using the formula A = l × w.
e. The living room rug has an area that is how many times that of the bedroom rug?
f. Compare the way the perimeter changed with the way the area changed between the two rugs.
Explain what you notice using words, pictures, or numbers.

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