Similarity Math Example 3

Follow the full solution, then compare it with the other examples linked below.

Example 3

medium
Two similar rectangles have widths of 44 cm and 1010 cm. If the smaller rectangle has a length of 66 cm, find the length of the larger rectangle.

Solution

  1. 1
    Scale factor: k=104=2.5k = \frac{10}{4} = 2.5.
  2. 2
    Length of larger rectangle: 6×2.5=156 \times 2.5 = 15 cm.

Answer

Length=15 cm\text{Length} = 15 \text{ cm}
Similarity applies to all shapes, not just triangles. Corresponding dimensions scale by the same factor.

About Similarity

Two figures are similar if they have the same shape but possibly different sizes, meaning all corresponding angles are equal and all corresponding sides are in the same ratio (the scale factor).

Learn more about Similarity →

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