🌼 The ratio of the height of a room to its semi-perimeter is 2 : 5. It costs Rs 260 to paper the walls of the room with paper 50 cm wide at Rs 2 per metre allowing an area of 15 sq. m for doors and windows. The height of the room is

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Answer...

h/(l+b) = 2/5

l+b = 5h/2

Length of the paper = Total Cost/Rate

=260/2

= 130 m

Area of the Paper = (130× 50/100) m2

= 65 m2

Total Area of 4 walls = (65+15) m2

= 80 m2

2(l+b) × h = 80

2× 5h/2 × h = 80

h = 4

Height of the room = 4 m