30. A room is twice as long as it is wide, The cost of paving its floor a 25p. per sq.
metre is 32, find its length and breadth.
Answers
Answer:
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Step-by-step explanation:
Rs 10800
There are 2430/15 sq. m. of wall in the room, i.e., 162 square meters (assuming unrealistically that the room has no doors or windows).
The total perimeter of the room is the total wall area of 162sq. m. divided by the height of 4.5 sq. m., i.e., 36 m..
Since the length (L) is twice the width (W) and since the total perimeter is 36, and since in the perimeter there are 2 lengths and two widths, and since the length is twice the width, 2L + 2W = 36.
Since the two lengths and the two widths are the same as 6 widths, the width must be 36/6, i.e. 6 meters. The length is therefore 12 m..
The area of the room is 6 x12 = 72 sq. m.. At Rs 150/sq. m., the cost of the paving marbles is Rs 10800.