IXL | Area between two rectangles

What is the area of the shaded region?

14 cm

5 cm

square centimeters

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Learn with an example

question

What is the area of the shaded region?

12 mm

4 mm

square millimeters

key idea

To find the area of a figure with a hole in it, subtract the area of the inner shape from the area of the outer shape.

Area of a square:

area

side

solution

To find the area of the shaded region, subtract the area of the inner shape from the area of the outer shape. Start by finding the area of the inner shape.

Find the side length of the inner square.

side: 4 mm

Use this number in the formula.

inner area

side

Now find the units. The lengths are measured in millimeters, so the area is measured in square millimeters.

The area of the inner square is 16 square millimeters.

Next, find the area of the outer shape.

Find the side length of the outer square.

side: 12 mm

Use this number in the formula.

outer area

side

144

As with the inner square, the lengths of the outer square are measured in millimeters. So, the area is measured in square millimeters.

The area of the outer square is 144 square millimeters.

Finally, subtract the inner area from the outer area to find the area of the shaded region.

shaded area

144

–

128

The area of the shaded region is 128 square millimeters.

Looking for more? Try these:

Lesson: Area of rectangles

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Teacher tools

Work it out

Not feeling ready yet? These can help:

TT.1Area of squares and rectangles

H.6Subtract numbers up to three digits

Lesson: Area of rectangles

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