Question

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 the smaller one​

Answer 1

Answer:

1,6

Step-by-step explanation:

150:10=15

24:15=1,6

Answer 2

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

( $\frac{ratio}{area}$ )

$\frac{n^2}{24}$ = $\frac{100}{150}$ = $\frac{2}{3}$ ( cross- multiply )

3n² = 48 ( divide both sides by 3 )

n² = 16 ( take the square root of both sides )

n = $\sqrt{16}$ = 4

length of the smaller one is 4 cm