Heya! Answer the following Mathematical MCQ!
The ratio of 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 meter allowing an area of 15 m² for door and windows. The height of room is :
a. 2.6 m
b. 3.9 m
c. 4 m
d. 4.2 m
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Let h = 2x metres and (l + b) = 5x metres.
Length of the paper
Total cost /Rate per m =260 /2
Area of the paper
{50/100} ×130 m² = 65 m².
Total area of 4 walls
= (65 + 15) m² = 80 m2.
.: 2(l+ b) x h = 80 m²
= 2*5x*2x = 80
= x² = 4
x= 2.
Height of the room = 4 m.