Area of a compound shapeMultiple shapes

Split a compound shape into familiar areas, then add them.

  • Use the dashed dividing lines to identify each part.
  • The triangle height must be perpendicular to its base.
  • The semicircle’s diameter is the height of the rectangle.

Example 1

Find the area of the compound shape. Give your answer in terms of .

Rectangle
Triangle
The semicircle’s diameter is the rectangle’s height.
Semicircle
Rectangle
Triangle
The semicircle’s diameter is the rectangle’s height.
Semicircle

Example 2

Find the area of the compound shape. Give your answer in terms of .

Rectangle
Triangle
The semicircle’s diameter is the rectangle’s height.
Semicircle
Rectangle
Triangle
The semicircle’s diameter is the rectangle’s height.
Semicircle

Your turn

Question 1

Find the area of the compound shape. Give your answer in terms of .

Check answer
Rectangle
Triangle
The semicircle’s diameter is the rectangle’s height.
Semicircle
Rectangle
Triangle
The semicircle’s diameter is the rectangle’s height.
Semicircle
Question 2

Find the area of the compound shape. Give your answer in terms of .

Check answer
Rectangle
Triangle
The semicircle’s diameter is the rectangle’s height.
Semicircle
Rectangle
Triangle
The semicircle’s diameter is the rectangle’s height.
Semicircle
Question 3

Find the area of the compound shape. Give your answer in terms of .

Check answer
Rectangle
Triangle
The semicircle’s diameter is the rectangle’s height.
Semicircle
Rectangle
Triangle
The semicircle’s diameter is the rectangle’s height.
Semicircle
Question 4

Find the area of the compound shape. Give your answer in terms of .

Check answer
Rectangle
Triangle
The semicircle’s diameter is the rectangle’s height.
Semicircle
Rectangle
Triangle
The semicircle’s diameter is the rectangle’s height.
Semicircle
Question 5

Find the area of the compound shape. Give your answer in terms of .

Check answer
Rectangle
Triangle
The semicircle’s diameter is the rectangle’s height.
Semicircle
Rectangle
Triangle
The semicircle’s diameter is the rectangle’s height.
Semicircle