IXL | Area between two rectangles

What is the area of the shaded region?

5 ft

7 ft

1 ft

2 ft

square feet

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Learn with an example

question

What is the area of the shaded region?

7 cm

9 cm

3 cm

5 cm

square centimeters

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 rectangle:

area

base

height

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 base and height of the inner rectangle.

base: 3 cm

height: 5 cm

Use these numbers in the formula.

inner area

base

height

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

The area of the inner rectangle is 15 square centimeters.

Next, find the area of the outer shape.

Find the base and height of the outer rectangle.

base: 7 cm

height: 9 cm

Use these numbers in the formula.

outer area

base

height

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

The area of the outer rectangle is 63 square centimeters.

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

shaded area

–

The area of the shaded region is 48 square centimeters.

Looking for more? Try these:

Lesson: Area of rectangles

$Confetti$

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Teacher tools

Work it out

Not feeling ready yet? These can help:

II.3Find the area or missing side length of a rectangle

H.6Subtract numbers up to three digits

Lesson: Area of rectangles

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