IXL | Find the area of complex figures by dividing them into rectangles

Find the area of the shape. First, draw a line to cut the shape into two rectangles.

What are the areas of the two rectangles you made?

square units and square units

What is the area of the whole shape?

square units

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Learn with an example

question

Find the area of the shape. First, draw a line to cut the shape into two rectangles.

What are the areas of the two rectangles you made?

square units and square units

What is the area of the whole shape?

square units

key idea

A unit square is a square with a side length of 1 unit. The area of a unit square is 1 square

unit.

The area of a shape is equal to the number of unit squares that cover it.

To find the area of a

rectangle,

multiply the length and the width:

area

length

width

solution

This is one way to cut the shape into two rectangles:

Find the area of each rectangle. Start with the rectangle on the left. It is 4 units long and 3 units wide.

Multiply to find the area.

The area of the rectangle on the left is 12 square

units.

Now, look at the rectangle on the right. It is 4 units long and 7 units wide.

Multiply to find the area.

The area of the rectangle on the right is 28 square

units.

Last, add the areas of the two rectangles to find the area of the whole shape.

The area of the whole shape is 40 square

units.

Looking for more? Try this:

$Confetti$

Excellent!

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Time
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SmartScore
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Teacher tools

Work it out

Not feeling ready yet? This can help:

OO.6Multiply to find the area of a rectangle made of unit squares

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