Question

the length of a room exceeds it's breadth by 3m if the length is incresaed by 3m and the breadth is decreased by 2m the area remains the same. find the length and the breadth of the room ​

Answer 1

Answer:

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Step-by-step explanation:

Let the breadth be the x.

length = x + 3m

Area = length * width

A = (x+3m) (x)

A = x² + 3x

Length is increased by 3m and breadth is decreased by 2m, area remains the same.

Length = (x + 3 + 3) ⇒ (x + 6)

Width = (x-2)

x² + 3x = (x + 6)(x-2)

x² + 3x  = x(x-2) +6(x-2)

x² + 3x = x² - 2x + 6x - 12

x² + 3x = x² + 4x - 12

x² - x² + 3x - 4x = -12

-x = -12

x = 12m breadth of the room.

x + 3 = 12 + 3 = 15m length of the room.

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