Area of Compound Shapes Worksheet

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Cut out the compound shapes below and cut them again into rectangles. Find the areas of the rectangles and use these to write the total area of the compound shapes.

 

A rectangle with 2 sides of 35 and 2 unknown sides

Area: 20square centimeters

A square with sides of length 4 units

Area: 14square centimeters

A rhombus with 2 sides of 20 units and 2 sides are unknown

Area: 22square centimeters

A rectangle with 2 sides of 37 units and 2 sides are unknown

Area: 24square centimeters

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Related Resources

The various resources listed below are aligned to the same standard, (3MD07) taken from the CCSM (Common Core Standards For Mathematics) as the Measurement Worksheet shown above.

Relate area to the operations of multiplication and addition.

  • Find the area of a rectangle with whole-number side lengths by tiling it, and show that the area is the same as would be found by multiplying the side lengths.
  • Multiply side lengths to find areas of rectangles with whole-number side lengths in the context of solving real world and mathematical problems, and represent whole-number products as rectangular areas in mathematical reasoning.
  • Use tiling to show in a concrete case that the area of a rectangle with whole-number side lengths a and b + c is the sum of a x b and a x c. Use area models to represent the distributive property in mathematical reasoning.
  • Recognize area as additive. Find areas of rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas of the non-overlapping parts, applying this technique to solve real world problems.

Example/Guidance

Area

Worksheet

Similar to the above listing, the resources below are aligned to related standards in the Common Core For Mathematics that together support the following learning outcome:

Geometric measurement: understand concepts of area and relate area to multiplication and to addition