Question

A room is half as long again as it is broad. The cost of carpeting the at Rs. 5 per sq.m is Rs. 270 and the cost of papering the four walls at Rs. 10 per sq.m is Rs. 1720. If a door and 2 windows occupy 8 sq. m, find the dimensions of the room.

Answer 1

hey!

points to be noted

•carpeting is done only on the base that is on the ground surface of the house

•area of carpeting will be = l×b

•papering is done only on doors , windows and on walls not on ground and on the ceiling

•so area of papering = 2(l+b)×h

__________________________

solution!

breadth be x
length be x+x/2=3x/2

area of carpeting = cost of carpeting/rate of carpeting
l×b = 270/5
x×3/2x = 54
x^2 = 54×2/3
x^2=108/3=36
x =√36
x= 6
length = 3/2×6=9m
breadth=6m

area of papering = total cost /rate
1720/10=172m^2

total area of papering=172+8 =180m^2
now height =?

2(l+b)×h=180
9+6×h=90
h=90/15
h=6m

hence dimensions of room are 9,6,6 m

Answer 2

Answer:

hey!

points to be noted

•carpeting is done only on the base that is on the ground surface of the house

•area of carpeting will be = l×b

•papering is done only on doors , windows and on walls not on ground and on the ceiling

•so area of papering = 2(l+b)×h

__________________________

solution!

breadth be x

length be x+x/2=3x/2

area of carpeting = cost of carpeting/rate of carpeting

l×b = 270/5

x×3/2x = 54

x^2 = 54×2/3

x^2=108/3=36

x =√36

x= 6

length = 3/2×6=9m

breadth=6m

area of papering = total cost /rate

1720/10=172m^2

total area of papering=172+8 =180m^2

now height =?

2(l+b)×h=180

9+6×h=90

h=90/15

h=6m

hence dimensions of room are 9,6,6 m

Step-by-step explanation: