# a table. cover of dimension 3m 25cm x 2m 30cm is spread. If 30cm of the cover is hanging all around the table, find the area of the cover which is hanging outside the top of the table. also find the cost of polishing the table top at Rs 16 per square meter.

area of cloth hanging outside = 36900 cm square / 3.69m square
cost of polishing =Rs 119.6
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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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