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Area Word Problems with Fractional Side Lengths


Videos and solutions to help grade 5 students learn how to solve real world problems involving area of figures with fractional side lengths using visual models and/or equations.

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Common Core For Grade 5

New York State Common Core Math Module 3, Grade 5, Lesson 14

Lesson 14 Problem Set

1. George decided to paint a wall with two windows. Both windows are 3 1/2 ft by 4 1/2 ft rectangles. Find the area the paint needs to cover.

(Homework) 1. Mr. Albano wants to paint menus on the wall of his café in chalkboard paint. The grey area below shows where the rectangular menus will be. Each menu will measure 6 feet wide and 7 1/2 ft long.
a. How many square feet of menu space will Mr. Albano have?
b. What is the area of wall space that is not covered by chalkboard paint?

2. Joe uses square tiles, some of which he cuts in half, to make the figure below. If each square tile has a side length of 2 1/2 inches, what is total area of the figure?

(Homework) 2. Mr. Albano wants to put tiles in the shape of a dinosaur at the front entrance. He will need to cut some tiles in half to make the figure. If each square tile is 4 1/4 inches on each side, what will the total area of the figure be?

(Homework) 3. A-Plus Glass is making windows for a new house that is being built. The box shows the list of sizes they must make.
a. How many square feet of glass will they need?
b. Each sheet of glass they use to make the windows is 9 feet long and 6 1/2 feet wide. How many sheets will they need in order to make the windows?

(Homework) 4. Mr. Johnson needs to buy seed for his backyard lawn.
a. If the lawn measures 40 4/5 ft by 50 7/8 ft, how many square feet of seed will he need?
b. One bag of seed will cover 500 square feet if he sets his seed spreader to its lowest setting and 300 square feet if he sets the spreader to its highest setting. How many bags of seed will he need if he uses the highest setting? The lowest setting?
Lesson 14 Homework

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