The carpeting of a room which is twice as long as it is broad at the rate of 50 paise per square metre costs rs. 12.25 and cost of painting its walls at the rate of 9 paise per square metre is rs 6.30. Find the height of the room.
Answers
Answer:
Step-by-step explanation:
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
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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
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