Question

7. A room measuring 4.5 m by 4 m, is surrounded by a verandah 2 m wide. Find the
area of the verandah.​

Answer 1

Answer:

1m

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.

Answer 2

Answer:

Area of verandah=21m^2

Step-by-step explanation:

Area of the veranda = area of room including veranda-area of room

6.5×6-4.5 × 4

=(39-18)m^2

=21 m^2