Question

table cover of dimensions 3 metre 25 CM X 230 cm is spread on a table if 37 of the table cover is hanging all around the table find the area of table cover which is hanging outside the top of the 16 per square table also find the cost of polishing the table top at metre​

Answer 1

Question:

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.

Answer:

${\huge{\mathsf{\blue{Given\::-}}}}$

• 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

${\boxed{\orange{Area\: of \:the\: hanging \:cover\: =\: Area\: of \:the \:table\: cover\: - \:Area \:of \:the\: table\: top}}}$

= 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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