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Home > CC1 > Chapter 8 > Lesson 8.1.4 > Problem 8-54

8-54.

Find the area of the shape below. All angles are right angles. Homework Help ✎

To find the area of the entire shape, separate it into rectangles.

One way to divide the shape up is to make a 6 cm by 15 cm rectangle, a 9 cm by 9 cm square, and a rectangle with unknown sides. To find its length, you must subtract the 9 cm side from the 24 cm parallel to it. To find its width, you must subtract the vertical 15 cm side from 18 cm side.

24 cm − 9 cm = 15 cm
18 cm − 15 cm = 3 cm

Find the areas of the rectangles and add them together.

(6 cm × 15 cm) + (9 cm × 9 cm) + (15 cm × 3 cm) = ?

The area of the shape is 216 square centimeters.