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Composite Shapes Area Worksheet
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Composite Shapes Area Worksheet
Find each area by splitting the shape into simpler shapes or subtracting a cut-out. Show your working and include the correct square units.
Build and combine shapes
1.A shape has a rectangle measuring 7 m by 5 m and a triangle on top with base 7 m and perpendicular height 4 m. What is the total area?
2.An L-shaped floor is made from two non-overlapping rectangles. One measures 9 cm by 4 cm and the other measures 3 cm by 5 cm. Find their combined area.
3.A rectangle measuring 12 m by 6 m has a right triangle attached along a 6 m side. The triangle's perpendicular height is 5 m. What is the area of the whole shape?
4.A square has side length 9 cm. A triangle with base 9 cm and perpendicular height 4 cm is joined to one side. Choose the total area.
- 99 cm²
- 117 cm²
- 81 cm²
- 45 cm²
Subtract and combine carefully
5.A T-shaped sign consists of a top rectangle 14 cm long and 3 cm high, with a non-overlapping stem rectangle 5 cm wide and 7 cm high. Find the sign's area.
6.A 10 cm by 8 cm rectangle has a right-triangle corner cut away. The triangle has base 4 cm and perpendicular height 3 cm. What area remains?
7.A large rectangle measures 13 m by 9 m. Two triangles are attached without overlap: one has base 6 m and perpendicular height 4 m; the other has base 5 m and perpendicular height 3 m. Find the total area.
8.A rectangle measuring 8 cm by 11 cm is joined to a right triangle along an 8 cm side. The triangle's perpendicular height is 7 cm. Calculate the combined area.
Challenge: choose a strategy
9.A rocket-shaped panel has a rectangle 5 m wide and 10 m high. A triangle with base 5 m and height 4 m is attached at the top, and another triangle with base 5 m and height 3 m is attached at the bottom. Find the total area.
10.Three non-overlapping rectangles, each 7 cm by 3 cm, are arranged in a staircase. What is their total area?
11.A rectangle measuring 12 m by 7 m has a triangular notch removed from one corner. The notch has a base of 4 m and a perpendicular height of 3 m. Choose the remaining area.
- 78 m²
- 84 m²
- 72 m²
- 66 m²
12.A central rectangle is 10 cm by 6 cm. Four separate right triangles are attached, one to each side; each triangle has base 3 cm and perpendicular height 2 cm. Find the area of the whole shape.
3 printable pages
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