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Area and Perimeter of Composite Shapes Area of Composite Figures Decomposing

Rated 4.88 out of 5, based on 8 reviews
4.9 (8 ratings)
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Math Shop
294 Followers
Grade Levels
4th - 7th
Standards
Formats Included
  • PDF
Pages
23 (Includes color & B&W)
$3.00
$3.00
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Math Shop
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What educators are saying

Good practice for finding area of composite rectangles. Starts easy and difficulty increases. Students enjoyed the practice.
My kids had so much fun with this resource! It was not only very aligned with what we were learning but very engaging!
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Description

Finding the Area and Perimeter of Composite Shapes by Decomposing into Rectangles. This pack includes 8 worksheets with a total of 46 multi-step questions on the area and perimeter of rectangles and composite figures made from multiple rectangles. All units in this resource are metric measurements.

These worksheets are in centimetres. Click here for inches.

There are 2 versions so that you can print in color or black and white.

Objectives:

To practice:

  • finding the area and perimeter of rectangles.
  • finding the area and perimeter of composite shapes by decomposing into rectangles.
  • finding the area and perimeter using metric measurements.
  • addition and multiplication methods

Contents:

This resource includes:

  • Worksheet 1 – There are 7 rectangles to find the area and perimeter of. Lengths are less than 100cm.
  • Worksheet 2 – There are 6 composite “L” shapes to find the area and perimeter of by decomposing into 2 rectangles. Lengths are less than 100cm.
  • Worksheet 3 – There are 6 composite “L” shapes to find the area and perimeter of by decomposing into 2 rectangles. Lengths are longer.
  • Worksheet 4 – There are 6 composite “L” shapes to find the area and perimeter of by decomposing into 3 rectangles. Lengths are longer.
  • Worksheet 5 – There are 6 composite “L” shapes with missing sides to find the area and perimeter of by decomposing into 2 rectangles. Lengths are less than 100cm.
  • Worksheet 6 – There are 6 composite “L” shapes with missing sides to find the area and perimeter of by decomposing into 2 rectangles. Lengths are longer.
  • Worksheet 7 – There are 6 composite “L” shapes with missing sides to find the area and perimeter of by decomposing into 3 rectangles. Lengths are longer.
  • Worksheet 8 – This is a challenging worksheet with missing sides. There are 3 composite shapes to find the area and perimeter of by decomposing into rectangles.
  • Answer sheets with all answers and working.
  • Teachers Notes

Directions:

Print out the 8 worksheets for each student.

They can be printed in color or black and white.

Notes:

All units in this resource are centimetres.

These questions are suitable for use without a calculator.

All answers are included.

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Total Pages
23 (Includes color & B&W)
Answer Key
Included
Teaching Duration
2 hours
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Standards

to see state-specific standards (only available in the US).
Recognize area as an attribute of plane figures and understand concepts of area measurement.
Relate area to the operations of multiplication and addition.
Solve real world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and exhibiting rectangles with the same perimeter and different areas or with the same area and different perimeters.
Apply the area and perimeter formulas for rectangles in real world and mathematical problems. For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor.
Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.

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