Question

A hall is 22 m long, 14 m broad and 8 m high. It has four doors each 2.6 m by 1.5 m and four windows each 1.5 m by 1 m. Find the cost of papering the walls with 80 cm wide paper at 70 paise per m.

Answer 1

$L=22$m, $B=14$m, $H=8$m

Dorr: $l=2.6m,h=1.5m$

window: $l=1.5m,h=1m$

Area of doors$=4(l\times h)$

$=4(2.6\times 1.5)$

$=15.6m^2$

Area of windows$=4(l\times h)$

$=4(1.5\times 1)$

$=6m^2$

TSA of room

$=2(LB+BW+HL)$

$=2[22\times 14+14\times 8+8\times 22]$

$=2[308+112+176]$

$=1192m^2$

Remaining area $=1192-(15.6+6)$

$=1192-21.6$

$=1170.4m^2$

Cost of papering$=70$ paise/m

$=\frac{70}{100}$Rs. .m

$\therefore$

Cost of papering the room

$=1170.4\times \frac{7}{10}$

$=$Rs. $819.28$.