Question

The sides is a rectangular piece of paper are in the ratio 2:3 if the area is 150sq cm, find the length and breadth​

Answer 1

10cm & 15cm

Step-by-step explanation:

given l:b=2:3

=> l/b =2/3

=> l = 2b/3

now area of rectangle = l × b = 150 cm² (given)

=> (2b/3) × b = 150

=> b² = 150(3/2) = 225

=> b = √225

=> b = 15cm ....(taking positive value only )

now , l=2b/3

=> l = 2×15/3

=> l= 10cm

Answer 2

Step-by-step explanation:

let length =2x

breadth=3x

given, area=150

because, area=length*breadth

150=2x*3x

150=6x

x=25

so, length =2x

=50

breadth =3x=75