Question

If length and breadth of a room incrsd by x feet each, th perimeter increase by 16 feet . Find x?

Answer 1

HI FRIEND

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HERE IS YOUR ANSWER :-

LET THE PERIMETER BE Y.

LET :

LENGTH = L

BREADTH = B

THEREFORE :

2 (L + B) = PERIMETER

2 (L + B) = Y

2 (L + X + B + X) = Y + 16

2 (L + B + 2X) = Y + 16

2 (L + B) + 4X = Y + 16

AS, 2 (L + B) = X

SO :

Y + 4X = Y + 16

Y + 4X - 4X = Y + 16 - 4X

Y = Y + 16 - 4X

Y + 16 - 4X = Y

16 - 4X = Y - Y

16 - 4X = 0

- 4X = - 16

- X = - 16 / 4

- X = - 4

THEREFORE, X = 4

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HOPE IT HELPS

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