Question

If the length and breadth of a rectangle is in the ratio 4:5 of its perimeter is 81 cm then find its length and breadth -​

Answer 1

Answer:

Let the length and breadth be 4k and 5k respectively.

Given that, perimeter = 81 cm

ie, 2( l+b ) = 81

ie, 2 ( 4k + 5k) = 81

ie, 2 x 9k = 81

ie, 2 x k = 81/9

ie, 2k = 9

ie, k = 9/2

Hence, length = 4k = 4 x 9/2 = 18 cm

            breadth = 5k = 5 x 9/2 = 22.5 cm

HOPE IT HELPS.......

Answer 2

Answer:

Length =  18

Breadth = 22.5

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Step-by-step explanation:

Length :  Breadth = 4 : 5

Let, L = 4x and B = 5x

Perimeter of Rectangle = 2( L + B )

⇒ 81 = 2 (4x + 5x)

⇒ 81 = 2 (9x)

⇒ x = 81/18

⇒ 4.5

Length = 4 × 4.5  = 18

Breadth = 5 × 4.5 = 22.5