Question

a square room is surrounded by a verandah of width 2m. Area of the verandah is 72 sq m. Find the area of the room​

Answer 1

Step-by-step explanation:

Let the side of the room be x

Therefore are of the room = x^2

Each side of the room incl. the verandah = x+2+ 2

Therfore area including verandah

= (x+4)^2

From the condition we get,

(x^2 + 8x+ 16) - (x^2) = 64

=> 8x + 16 = 64

=> 8x = 64 -16

=> x =48 /8 = 6

Each side of the room = 6m

Therfore, area= (6×6) sq.m = 36 sq.m