Two similar triangles have areas of 16 m² and 25 m². If the perimeter of the smaller triangle is 20 meters, what is the perimeter of the larger triangle?
Show answer & explanation
Correct answer: B
Explanation
Given:
Areas of two similar triangles = 16 m² and 25 m²
Perimeter of the smaller triangle = 20 m
By the formula:
Ratio of sides in similar triangles = √(Ratio of areas)
Ratio of sides = √(25/16) = 5/4
The ratio of perimeters is also 5 : 4.
Perimeter of the larger triangle
= 20 × (5/4) = 25 m