Question

a room 6m long 5m wide is surrounded by the verandah if the verandah area is 22 m2 find the width​

Answer 1

Answer:

Step-by-step explanation:

The area of the room= 5×4 = 20 sq. m

Let the width be x.

Then,

(5+2x)(4+2x) - 22 = 20

or, 20 + 18x + 4x^2 -42 = 0

or, 4x^2 + 18x - 22 = 0

or, 2x^2 + 9x - 11 = 0

or, 2x^2 -2x +11x - 11 =0

or, 2x(x - 1) +11(x - 1) = 0

or, (x - 1)(2x + 11) = 0

From the above relation,

x = 1 or x = -11/2

negative answer cannot be accepted as a measure of width.

so, x = 1

The width of the verandah is 1 m.

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