Question

A room 5m long and 4m wide is surrounded by a verandah. If the verandah occupies an area of 22m, find the width of the verandah ​

Answer 1

Answer:

the answer is 1m .........m

Answer 2

Answer:

Step-by-step explanation:

Let the width be x m

Outer area = (5+2x) (4+2x)

Inner area = 5*4 = 20

Area of verandah = (5+2x) (4+2x) - 20 = 22m^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 native value , x = 1