 # Area of Rectangles with Mixed Side Lengths

Related Topics:
Lesson Plans and Worksheets for Grade 5
Lesson Plans and Worksheets for all Grades

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

6. 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? 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 = _____ 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?

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 calculator and problem solver 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. 