Millie has some star-shaped tiles. Each edge of a tile is 5 centimeters long. She puts two tiles together to make a shape. We need to work out the perimeter of Millie's shape. Each star has 10 edges. When two stars are joined together, 2 edges are removed from the perimeter.

GeometryPerimeterGeometric ShapesComposite Shapes
2025/4/4

1. Problem Description

Millie has some star-shaped tiles. Each edge of a tile is 5 centimeters long. She puts two tiles together to make a shape. We need to work out the perimeter of Millie's shape. Each star has 10 edges. When two stars are joined together, 2 edges are removed from the perimeter.

2. Solution Steps

Each star has 10 edges.
Perimeter of one star = 10 * length of each edge
Length of each edge = 5 cm
Perimeter of one star = 10×5=5010 \times 5 = 50 cm.
When two stars are put together, two edges are hidden. The total perimeter of two stars is reduced by 2×5=102 \times 5 = 10 cm, as each edge is 5 cm. Therefore, the perimeter of the combined shape is 50+50(2×5)=10010=9050 + 50 - (2 \times 5) = 100 - 10 = 90 cm.

3. Final Answer

90 cm

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