# 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. Area of shaded part = ( 3 x 1)

Area of unshaded part = (3 x 5)

Total area = ( 3 x 1) + (3 x 5) = 18 Area of shaded part = (3 x 2)

Area of unshaded part = ( 3 x 3)

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

### 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