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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Score/ 16
Question 1
A window is a 12 dm by 8 dm rectangle with a semicircle on top (the semicircle's diameter is the 12 dm side). Find the total area of glass in dm², to 1 decimal place.
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Question 2
A garden is made of two rectangles: 6 ft × 6 ft and 2 ft × 5 ft. What is the total area, in ft²?
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Question 3
An L-shape is made from a big rectangle, 11 m by 6 m, with a small rectangle, 7 m by 2 m, cut from one corner. What is its area?
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Question 4
An L-shaped room: the bottom wall is 11 m, the left wall is 8 m, the top wall is 8 m and the right wall is 3 m. The other two walls are not labelled. What is the floor area?
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Question 5
A house-shaped sign is a 16 cm wide, 3 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 6
A rectangular pond is 5 m by 10 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 7
An L-shape is made by cutting a 3 cm by 3 cm rectangle from the corner of a 6 cm by 8 cm rectangle. What is the area of the L-shape, in cm²?
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Question 8
A window is a 10 dm by 10 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 garden is made of two rectangles: 7 yd × 5 yd and 2 yd × 6 yd. What is the total area, in yd²?
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Question 10
An L-shape is made from a big rectangle, 11 m by 7 m, with a small rectangle, 7 m by 2 m, cut from one corner. What is its area?
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Question 11
An L-shaped room: the bottom wall is 13 m, the left wall is 10 m, the top wall is 10 m and the right wall is 7 m. The other two walls are not labelled. What is the floor area?
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Question 12
A house-shaped sign is a 10 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 13
A rectangular pond is 7 m by 4 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 14
An L-shape is made by cutting a 5 ft by 4 ft rectangle from the corner of a 12 ft by 6 ft rectangle. What is the area of the L-shape, in ft²?
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Question 15
A window is a 8 dm by 7 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 garden is made of two rectangles: 4 m × 3 m and 7 m × 2 m. What is the total area, in m²?
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