Q104 of 131 Page 226

A table cover of dimensions 3 m 25 cm × 2 m 30 cm is spread on a table. If 30 cm of the table cover is hanging all around the table, find the area of the table cover which is hanging outside the top of the table. Also find the cost of polishing the table top at Rs. 16 per square metre.

Given, Length of the table cover = 3 m 25 cm = 3.25 m


and Breadth of the table cover = 2 m 30 cm = 2.3 m


Area of the table cover = 3.25 × 2.3 = 7.475 m2


The table cover hangs 30 cm around the table, and so:


Length of the table top = Length of the table cover – 30 cm= 3.25 m - 2 × 0.3 m= 2.65 m


Breadth of the table top = Breadth of the table cover – 30 cm = 2.3 m – 2 × 0.3 m = 1.7 m


Area of the table top = 2.65 × 1.7 = 4.505 m2


Area of the hanging cover = Area of the table cover - Area of the table top


= 7.475 – 4.505 = 2.97 m2


Cost of polishing 1 m2 of table top = Rs. 16


∴ Cost of polishing 4.505 m2 of table top = Rs. 4.505 × 16 = Rs. 72.08


Area of the hanging cover = 2.97 m2


Cost of polishing 4.505 m2 of table top = Rs. 4.505 × 16 = Rs. 72.08


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