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Area of Rectangles

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Videos, examples, solutions, and lessons to help Grade 5 students learn how to measure to find the area of rectangles with fractional side lengths.

New York State Common Core Math Module 5, Grade 5, Lesson 12
Worksheets for Grade 5

Common Core Standards: 5.NF.4b, 5.NF.6

Lesson 12 Problem Set

1. Measure each rectangle with your ruler, and label the dimensions. Use the area model to find each area.

2. Find the area. Explain your thinking using the area model.
b. 1 1/2 yd × 1 1/2 yd
c. 2 1/2 yd × 1 3/16 yd

4. Fred cut a 9 3/4 inch square of construction paper for an art project. He cut a square from the edge of the big rectangle whose sides measured 3 1/4 inches. (See picture below.)
a. What is the area of the smaller square that Fred cut out?
b. What is the area of the remaining paper?



Lesson 12 Homework

1. Measure each rectangle with your ruler, and label the dimensions. Use the area model to find the area.
2. Find the area. Explain your thinking using the area model.
a. 2 1/4 yd × 1/4 yd
b. 2 1/2 ft × 1 1/4 ft

3. Kelly buys a tarp to cover the area under her tent. The tent is 4 feet wide and has an area of 31 square feet. The tarp she bought is 5 1/3 feet by 5 3/4 feet. Can the tarp cover the area under Kelly’s tent? Draw a model to show your thinking.
4. Shannon and Leslie want to carpet a 16 1/2 ft by 16 1/2 ft square room. They can’t put carpet under an entertainment system that juts out. (See the drawing below.)
a. In square feet, what is the area of the space with no carpet?
b. How many square feet of carpet will Shannon and Leslie need to buy?

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