In this Diwali Mr. Shreyas has decided to renovate his office. He
needs to purchase carpet of exact dimensions from the market. He
has an interesting way of telling the dimensions of the floor of the
office room to the shopkeeper. “The length of the office room
exceeds its breadth by 3m. If the length is increased by 3m and
breadth is decreased by 2m, the area remains the same.” You need
to help the shopkeeper in this situation.
i Assuming two variables for the dimensions, obtain the equations.
ii Using suitable method, determine the dimensions of the office
room.
iii Determine the area of the carpet needed for the office room.
iv What would be the cost of the carpet needed at the rate of ₹ 120
per sq. m.?
v What discount would he ask for so that he would get the carpet in
less than ₹ 20,000?
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