Question

A room is 3 times longer than its breadth and its perimeter is 32 m .Find the cost of carpeting its floor with carpet 80cm wide at Rs.12 per metre

Answer 1

At Rs of 12/m this would cost approx 12*60 = Rs 720

Explanation:

2* (Length + breadth) = perimeter = 32

Length + breadth = 3* breadth + 1* breadth = 4* breadth

Substituting gives the equation

2*(4*breadth) = 8*breadth = 32

Therefore breadth = 32/8 = 4 metres

If breadth is 4 metres then length = 4 * 3 = 12 metres

So the room is 4m x 12m, which gives an area of 48m2

If the carpet is 0.8m wide and you are laying it lengthwise then you will need, 4/0.8 = 5 strips and as each strip is the length of the room (12m) the total length of 0.8m wide carpet required is 5 strips * 12m length = 60m

At Rs of 12/m this would cost approx 12*60 = Rs 720

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Note: all of the above is basic and doesn’t allow for everything, it just uses the rates in your question above (which may or may not allow for installation etc). You should do your own checks before using these answers