Question

a room 12.5m long and 10.5m wide is surrounded by a verandah 2m wide all around it. find the Area occupied by the verandah

Answer 1

area of ABCD = l × b = 12.5 × 10.5 = 131.25 sq.m
area of XYZW = (2 × 12.5 ) × (2 × 10.5 ) = 525 sq.m
area of space occupied by the verandah =
area of XYZW - area of ABCD =525 - 131.25 =
393.75 sq. m

Answer 2

Answer:  Area occupied by the verandah = 108 m².

Step-by-step explanation:

Since we have given that

Length of room = 12.5 m

Width of room = 10.5 m

So, Area of room is given by

$Area=Length\times Breadth\\\\Area=12.5\times 10.5\\\\Area=131.25\ m^2$

According to question, a room is surrounded by a verandah around it.

Length of outer part = 12.5+2+2=16.5 m

Breadth of outer part = 14.5 m

So, Area of outer part is given by

$Area=16.5\times 14.5\\\\Area=239.25\ cm^2$

Therefore, Area occupied by the verandah is given by

$\text{ Area of outer part-Area of room}\\\\=239.25-131.25\\\\=108\ m^2$

Hence, Area occupied by the verandah = 108 m².