2 similar cardboards have areas of 24cm square and 150cm square. if the length of the bigger one is 10cm, what is the length of
2 answers:
Answer:
4 cm
Step-by-step explanation:
Given 2 similar figures with sides in ratio a : b , then
ratio of areas = a² : b²
let n be the length of the smaller one , then
ratio of sides = n : 10
ratio of areas = n² : 10² = n² : 100
Using proportion
( )
=
=
( cross- multiply )
3n² = 48 ( divide both sides by 3 )
n² = 16 ( take the square root of both sides )
n = = 4
length of the smaller one is 4 cm
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