Question

The length of a rectangular room of area 77 m square is 3m less than twice its breadth . We need to find the dimensions of the room.

Answer 1

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Answer 2

Answer :

• Area = 77 m²
• Length is 3cm less than twice of breadth

Let, length be x and breadth be y

⇒Length = x = 2y - 3

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⇒Area = length*Breadth

⇒Area = x * y

⇒77 = (2y - 3)(y)

⇒77 = 2y² - 3y

⇒2y² - 3y - 77 = 0

⇒2y² - 14y + 11y - 77 = 0

⇒2y(y - 7) + 11(y - 7) = 0

⇒(2y + 11) (y - 7) = 0

So, Zeros are :

• y = -11/2
• y = 7

As breadth can't be negative. So, breadth is 7 m

$\rule{150}{0.5}$

Length = 2y - 3

⇒x = 2(7) - 3

⇒x = 14 - 3

⇒ x = 11

• Length is 11 m
• Breadth is 7 m