Question

A verandah of width 3 m is constructed all along outside a room which is 6 m long and 5 m wide.

Find:
(a) the area of the verandah.
(b) the cost of cementing the floor of the verandah at the rate of rs.205 per m2.​

Answer 1

Answer:

Area of verandah = 102m² and,  cost of cementing = ₹209.1

Step-by-step explanation:

Given: Length of room = 6m

Width of room = 5m

Width of verandah which is constructed all along outside of room = 3m,

Cost of cementing of verandah = ₹2.05/m²

∴ Length of room with verandah= 6m + 3m + 3m = 12m

Width of room with verandah= 5m + 3m + 3m =11m

Area of room = Length × Width

                      = 6m × 5m

                      = 30m²

Area of room with verandah = Length × Width

                                               = 12m × 11m

                                               = 132m²

Area of verandah = Area of room with verandah − Area of room

                             = 132m² - 30m²

                             = 102m²

Cost of cementing of verandah = Area × Rate

                                                    = 102m² × ₹2.05/m²

                                                    = ₹209.1

∴ Area of verandah = 102m² and,  cost of cementing = ₹209.1.

hope it will help you.

Answer 2

$\sf\red{GIVEN}$

$\sf{Length \: of \: room = 6\: m}$

$\sf{Width \: of \: room = 5\: m}$

$\sf{Width \: of \: verandah\:which \:is \:constructed \: all\: along\:outside\: of \: room = 3\: m}$

$\sf{Cost\: of\: cementing\: of\:verandah = ₹ 2.05{m}^{2}}$

$\sf\red{\therefore Length \: of \: room \: with \: verandah = 6m+3m+3m = 12m}$

$\sf\red{Width\:of \:room \: with\: verandah=5m+3m+3m=11m}$

$\sf\red{Area \:of \:room = Length × Width }$

$\implies$$\sf{6m×5m}$

$\implies$$\sf{30 {m}^{2} }$

$\sf\red{Area \: of \: room \: with \: verandah = Length × Width}$

$\implies$$\sf{12m×11m}$

$\implies$$\sf{132{m}^{2}}$

$\sf\red{Area\:of \: verandah=\: Area\: of\:room \: with\:verandah-Area \: of \: room}$

$\implies$$\sf{132 {m}^{2} - 30 {m}^{2}}$

$\implies$$\sf{ {102m}^{2} }$

$\sf\red{Cost \:of \: cementing\: of\: verandah=\: Area × Rate}$

$\implies$$\sf{ {102m}^{2} \times {₹2.05m}^{2} }$

$\implies$$\sf{₹209.1}$