Question

A room is7.5m long and 3.5m wide. It is surrounded by verandah1.5m wide. Find the area occupied by the verandah.

Answer 1

Step-by-step explanation:

Solution

Let ABCD be the room and EFGH be the boundaries of the verandah.

◕ Length of the room = AB = 7.5m

◕ Breadth of the oom = BC = 3.5m

$\sf \: Area \: of \: the \: room = area \: of \: ABCD \\ \sf =7.5 \times 3.5 m^ 2 \\ \sf =26.25 m^ 2$

Length of room and varandah = EF

$\sf= \lgroup 7.5+(1.5+1.5)\ m=10.5 m \rgroup$

Breadth of room and verandah = FG

$\sf= \lgroup3.5+(1.5+1.5) m \rgroup \\ \sf =6.5 m$

Area of room and verandah = area of EFGH

$\sf=10.5 \times 6.5 m^ 2 \\ \sf =68.25 m^ 2$

Area of the varandah

$\sf= (68.25 - 26.25) m ^ 2 \\ \sf = 42m ^ 2$