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kamran mirza

· started a discussion

· 1 Months ago

Answer (Question: 338605.0 )

x=4 is it correct i thought it would be x=2 please explain if i am wrong.

Question:
The ratio of the height of a room to the sum of the length and breadth of the room is 4 : 7. It costs ₹520 to cover the walls of the room with paper 75cm wide at ₹2 per meter by allowing an area of ₹29 sq.m. for doors and windows. Find the height of the room?
Options:
A) 6 m
B) 8 m 
C) 10 m 
D) 12 m
E) None of these 
Solution:

Length of the paper = 520/2 = 260m

Area of the paper = width of the paper × length of the paper

= 75/100 × 260 

= 195 sq.m

Given that,

⇒ h : (l + b) = 4 : 7

i.e., h = 4x and l + b = 7x 

{we know that

Area of the four walls = 2h(l + b)

As per the question,

Area of the four walls = 195 + 29 = 224 sq.m

So that,

⇒2h(l + b) = 224

⇒2 × 4x× 7x = 224

⇒x = 2

Height of the room = 4 × 2 = 8 m

TRILOCHAN MAHAPATRA

· commented

· 1 Months ago

u r right

neetu

· commented

· 1 Months ago

please explain in detail manner i can't understand.

silpa k s

· commented

· 1 Months ago

you are right, x=2 and the answer should be 4*2 = 8m

DHEERAJ

· commented

· 1 Months ago

yes answer should be 8
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