Question

the length and breadth of a rectangle are in the ratio 2:3and its area is 864 sqcm.what are the length and breadth?​

Answer 1

Answer:

L=24cm

B=36cm

Step-by-step explanation:

Let the required dimension be n.

Therefore L:B = 2n : 3n

=> L =2n and B=3n

Area of a rectangle = L x B

=> Area = 2n X 3n = 864 sqcm

$6n^{2} = 864\\=> n^{2}=\frac{864}{6} =144\\=>n =\sqrt{114} =12$

So, L = 2n = 2 x 12 = 24cm

B = 3n = 3 x 12 = 36cm

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