Question

OR
The perimeter and area of a rectangular play ground are 80m and 384m2
respectively. Find the length and breadth of the play ground.​

Answer 1

Given : perimeter and area of a rectangular play ground are 80m and 384m²

To Find :  length and breadth of the play ground​

Solution:

let say Length = x  m

Breadth = B m

2(length + breadth ) = Perimeter

=> 2(x + B)  = 80

=> x + B = 40

=> B = 40 - x  m

Area = Length * Breadth

=> 384 = x ( 40 - x)

=> 384 = 40x - x²

=> x²  - 40x  + 384 = 0

=>  x²  - 24x  - 16x + 384 = 0

=> (x - 24)(x - 16) = 0

=> x = 24 or 16

=> 40 -x  = 16 or 24

length and breadth are 16 & 24 m

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