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
Name
Date
Score/ 16
Question 1
An L-shaped room: the bottom wall is 11 m, the left wall is 10 m, the top wall is 3 m and the right wall is 8 m. The other two walls are not labelled. What is the floor area?
Answer
Question 2
A house-shaped sign is a 16 cm wide, 5 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?
Answer
Question 3
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.
Answer
Question 4
A rectangular pond is 7 m by 7 m. A path 1 m wide goes all the way around it. What is the area of the path, in m²?
Answer
Question 5
An L-shape is made by cutting a 8 cm by 4 cm rectangle from the corner of a 12 cm by 9 cm rectangle. What is the area of the L-shape, in cm²?
Answer
Question 6
A garden is made of two rectangles: 5 cm × 3 cm and 8 cm × 6 cm. What is the total area, in cm²?
Answer
Question 7
An L-shape is made from a big rectangle, 14 m by 8 m, with a small rectangle, 10 m by 4 m, cut from one corner. What is its area?
Answer
Question 8
An L-shaped room: the bottom wall is 12 m, the left wall is 12 m, the top wall is 10 m and the right wall is 8 m. The other two walls are not labelled. What is the floor area?
Answer
Question 9
A house-shaped sign is a 8 cm wide, 8 cm tall rectangle with a triangle on top. The triangle has the same base and is 4 cm tall. What is the total area, in cm²?
Answer
Question 10
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.
Answer
Question 11
A rectangular pond is 10 m by 4 m. A path 2 m wide goes all the way around it. What is the area of the path, in m²?
Answer
Question 12
An L-shape is made by cutting a 7 m by 4 m rectangle from the corner of a 9 m by 6 m rectangle. What is the area of the L-shape, in m²?
Answer
Question 13
A garden is made of two rectangles: 5 ft × 4 ft and 2 ft × 4 ft. What is the total area, in ft²?
Answer
Question 14
An L-shape is made from a big rectangle, 6 m by 10 m, with a small rectangle, 3 m by 6 m, cut from one corner. What is its area?
Answer
Question 15
An L-shaped room: the bottom wall is 14 m, the left wall is 8 m, the top wall is 8 m and the right wall is 5 m. The other two walls are not labelled. What is the floor area?
Answer
Question 16
A house-shaped sign is a 12 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?
Answer
Write your answers right on the page. · Free from eurekami.com