A room 5m long and 4m wide is surrounded by a verandah. If the verandah occupies an area of 22m? .find the Width of verandah? [1 m]
please answer with steps.
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A room 5m long and 4m wide is surrounded by a verandah. If the verandah occupies an area of 22m? .find the Width of verandah? [1 m]
please answer with steps.
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Let the width be x m
Outer area = ( 5 + 2x ) ( 4 +2x )
Inner Area = 5 X 4 = 20
Area of verandah = ( 5 + 2x ) ( 4 + 2x) - 20 = 22 m^2
20 + 8x + 10x + 4x^2 - 20 = 22
4x^2 +18x - 22 = 0
2x^2 +9x - 11 = 0
2x^2 -2x +11x - 11 = 0
2x ( x -1) + 11( x-1) = 0
( 2x +11) ( x-1) = 0
Rejecting the negative value , x = 1
ANSWER 1 meter
CHECK
7 X 6 = 42
5 X 4 = 20