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Calculating Area in Two Parts

This is a 2-page worksheet.

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Name:______________________

Write expressions for the areas of the unshaded and shaded parts of the rectangles below. Combine the expressions to get an equation for the area of the whole rectangle. The first one is done for you.

A rectangle that is 3cm x 6cm and part shaded

Area of shaded part = ( 3 x 1)

Area of unshaded part = (3 x 5)

Total area = ( 3 x 1) + (3 x 5) = 18

A rectangle that is 3cm x 5cm and part shaded

Area of shaded part = (3 x 2)

Area of unshaded part = ( 3 x 3)

Total area = ( 3 x 2) + ( 3 x 3) = 15

A rectangle that is 7cm x 3 cm and part shaded

Area of shaded part = ( 3 x 3)

Area of unshaded part = ( 4 x 3)

Total area = ( 3 x 3) + ( 4 x 3) = 21

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Name:______________________

The rectangle below is 3 cm x 13 cm and is split into part A and part B. Complete the equations to find the area of each part and of the whole rectangle.

A grid with 2 rectangles with an area of 6 square inches.

Part A: 3cm x 10cm = 30cm2

Part B: 3cm x 3cm = 9cm2

Total area for 3 cm x 13 cm rectangle = 39cm2

The rectangle below is 5 cm x 15 cm. Split it into two parts and calculate the area of both parts and then find the total area.

A grid with 2 rectangles with an area of 6 square inches.

Part A: 5cm x 10cm = 50cm2

Part B: 5cm x 5cm = 25cm2

Total area for 5 cm x 15 cm rectangle = 75cm2

You may have split the rectangle up differently.

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Back to the first Calculating Area worksheet in this series.

   -    By HelpingWithMath.com

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.

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

 

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