Question

The area of rectangular room is 84 sq. Mts . If the breadth is 5 m less than its length then the perimeter of the room is ?

Answer 1

Answer:

Let the length be 'x'. It is given that Breadth is 5 meters more than the length. Hence Breadth is ( x - 5 ).

Area of a rectangle = Length * Breadth

=> 84 m² = x ( x - 5 )

=> 84 m² = x² - 5x

=> x² - 5x - 84 = 0

=> x² - 12x + 7x - 84 = 0

=> x ( x - 12 ) + 7 ( x - 12 ) = 0

=> ( x +7 ) ( x - 12 ) = 0

=> x = -7, 12

Length cannot be negative. Hence 12 is the length

Breadth is 12 - 5 which is 7 m.

Perimeter of Rectangle = 2 ( l + b )

=> Perimeter = 2 ( 7 + 12 )

=> Perimeter = 2 ( 19 ) = 38 m

Hence the perimeter of the room is 38m.

Answer 2

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