Area of Rectangles with Fractional Side Lengths
Videos and solutions to help Grade 5 students learn how to find the area of rectangles with whole-by-mixed and whole-by-fractional number side lengths by tiling, record by drawing, and relate to fraction multiplication.
New York State Common Core Math Module 5, Grade 5, Lesson 10
Common Core Standards: 5.NF.4b,
Plans and Worksheets for Grade 5
Plans and Worksheets for all Grades
Lessons for Grade 5
Common Core For Grade 5
Lesson 10 Concept Development
We want to determine the areas of some mystery rectangles.
Lesson 10 Problem Set
Sketch the rectangles and your tiling. Write the dimensions and the units you counted in the blanks.
Then use multiplication to confirm the area. Show your work.
6. The rectangle to the right is composed of squares that measure 2 1/4 inches
each side. What is its area in square inches? Explain your thinking using
pictures and numbers.
7. A rectangle has a perimeter of 35 1/2 feet. If the width is 12 ft, what is the area of the rectangle?
(homework) 3. A garden box has a perimeter of 27 1/2 feet. If the length is 9 feet, what is the area of the garden box?
Lesson 10 Homework
1. John tiled some rectangles using square unit. Sketch the rectangles if necessary, fill in the missing information, and then confirm the area by multiplying.
2. Rachel made a mosaic from different color rectangular tiles. Three tiles measured 3 1/2 inches × 3 inches.
Six tiles measured 4 inches × 3 1/4 inches. What is the area of the whole mosaic in square inches?
3. A garden box has a perimeter of 27 1/2 feet. If the length is 9 feet, what is the area of the garden box?
Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.
You can use the free Mathway widget below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.