Area of Rectangles with Fractional Side Lengths


Related Topics:
Lesson Plans and Worksheets for Grade 5
Lesson Plans and Worksheets for all Grades
More Lessons for Grade 5
Common Core For Grade 5




Share this page to Google Classroom

Videos, examples, solutions, and lessons 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
Worksheets for Grade 5

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

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?

Check out our most popular games!

Fraction Concoction Game:
Master fractions in the lab: mix, add, and subtract beakers to create the perfect concoction!

Fraction Concoction Game

Fact Family Game:
Complete fact families and master the link between addition & subtraction and multiplication & division.

Fact Family Game

Number Bond Garden:
Clear the board by matching number pairs that sum to ten in this garden-themed mental math puzzle.

Number Bond Garden

Online Addition Subtraction Game:
Practice your addition and subtraction skills to help the penguin find its mummy.

Online Addition Subtraction Game

Penguin Solitaire
Penguin Solitaire is a fun game that aims to move all cards to the foundations to build four full sequences. There are two versions here: Penguin (Tuxedo) and Penguin (Original).

Penguin Solitaire



We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.