Area of Rectangles with Mixed Side Lengths

Videos, examples, solutions, and lessons to help Grade 5 students learn how to find the area of rectangles with mixed-by-mixed and fraction-by-fraction side lengths by tiling, record by drawing, and relate to fraction multiplication.

New York State Common Core Math Grade 5, Module 5, Lesson 11

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

Lesson 11 Problem Set

Draw the rectangle and your tiling.
Write the dimensions and the units you counted in the blanks.
Then, use multiplication to confirm the area. Show your work.

1. Rectangle A:
   Rectangle A is
   ____ units long ____ units wide
   Area = ____ units²
   
   
2. A square has a perimeter of 51 inches. What is the area of the square?
   
   (Homework) 2. A square has a perimeter of 25 inches. What is the area of the square?

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Lesson 11 Exit Ticket

To find the area, Andrea tiled a rectangle and sketched her answer. Sketch the rectangle, and find the area. Show your multiplication work.
Rectangle is 2 1/2 units × 2 1/2 units
Area = _____

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Lesson 11 Homework This video shows how to find the area of rectangles with fractional dimensions using an area model.

1. Kristen tiled the following rectangles using square units. Sketch the rectangles, and find the areas. Then confirm the area by multiplying.
   a. Rectangle A:
   Rectangle A is _____ units long × _____ units wide
   Area = _____ units²
   b. Rectangle B:
   Rectangle B is 2 1/2 units long × 3/4 unit wide
   Area = _________ units²
   c. Rectangle C:
   Rectangle C is 3 1/3 units long × 2 1/2 unit wide
   Area = _________ units²
   d. Rectangle D:
   Rectangle D is 3 1/2 units long × 2 1/4 unit wide
   Area = _________ units²
   
   
2. A square has a perimeter of 25 inches. What is the area of the square?

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