Area of composite figures
Grades 3 to 7 (Years 4 to 8 in England) · 16 questions · Common Core: 3.MD.C.7.D, 6.G.A.1, 7.G.B.4 · England: Y5 Measurement, Y6 Measurement, KS3 Geometry and measures
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Question 1
A window is a 10 dm by 5 dm rectangle with a semicircle on top (the semicircle's diameter is the 10 dm side). Find the total area of glass in dm², to 1 decimal place.
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Question 2
A house-shaped sign is a 6 cm wide, 8 cm tall rectangle with a triangle on top. The triangle has the same base and is 6 cm tall. What is the total area, in cm²?
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Question 3
An L-shape is made by cutting a 10 m by 4 m rectangle from the corner of a 12 m by 6 m rectangle. What is the area of the L-shape, in m²?
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Question 4
A garden is made of two rectangles: 2 cm × 3 cm and 7 cm × 3 cm. What is the total area, in cm²?
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Question 5
A rectangular pond is 7 m by 6 m. A path 1 m wide goes all the way around it. What is the area of the path, in m²?
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Question 6
An L-shaped room: the bottom wall is 7 m, the left wall is 10 m, the top wall is 5 m and the right wall is 4 m. The other two walls are not labelled. What is the floor area?
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Question 7
An L-shape is made from a big rectangle, 13 m by 7 m, with a small rectangle, 9 m by 5 m, cut from one corner. What is its area?
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Question 8
A window is a 10 dm by 9 dm rectangle with a semicircle on top (the semicircle's diameter is the 10 dm side). Find the total area of glass in dm², to 1 decimal place.
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Question 9
A house-shaped sign is a 6 cm wide, 8 cm tall rectangle with a triangle on top. The triangle has the same base and is 3 cm tall. What is the total area, in cm²?
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Question 10
An L-shape is made by cutting a 2 m by 6 m rectangle from the corner of a 7 m by 8 m rectangle. What is the area of the L-shape, in m²?
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Question 11
A garden is made of two rectangles: 5 yd × 5 yd and 3 yd × 2 yd. What is the total area, in yd²?
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Question 12
A rectangular pond is 11 m by 8 m. A path 2 m wide goes all the way around it. What is the area of the path, in m²?
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Question 13
An L-shaped room: the bottom wall is 11 m, the left wall is 9 m, the top wall is 7 m and the right wall is 5 m. The other two walls are not labelled. What is the floor area?
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Question 14
An L-shape is made from a big rectangle, 11 m by 11 m, with a small rectangle, 8 m by 7 m, cut from one corner. What is its area?
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Question 15
A window is a 8 dm by 6 dm rectangle with a semicircle on top (the semicircle's diameter is the 8 dm side). Find the total area of glass in dm², to 1 decimal place.
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Question 16
A house-shaped sign is a 14 cm wide, 8 cm tall rectangle with a triangle on top. The triangle has the same base and is 5 cm tall. What is the total area, in cm²?
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