Question

Two similar trapezoids have areas of 384 cm² and 24 cm². What is their ratio of similarity?

1:2

1:4

2:1

4:1

Answer 1

1 : 4

Explanation:

Given 2 similar figures, then

linear ratio = a : b and

area ratio = a² : b²

here the area ratio = 24 : 384 = 1 : 16, hence

linear ratio =
`√(1)` :
`√(16)` = 1 : 4