# 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 ₹16 per square metre.

**Solution:**

To determine the cost of polishing the table top

We first have to determine its __area__ for which length and breadth is needed

It is given that

Length of cover = 3 m 25 cm = 3.25 m

Breadth of cover = 2 m 30 cm = 2.30 m

So the area of cover = 3.25 × 2.30 = 7.475 m²

As 30 cm width of cloth is outside the table on each side

Length of table = 3.25 - (2 × 0.30) = 2.65 m

Breadth of table = 2.30 - (2 × 0.30) = 1.70 m

Area of top of the table = 2.65 × 1.70 = 4.505 m²

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

Substituting the values

= 7.475 - 4.505

= 2.97 m²

Given

Cost of polishing the table top at ₹16 per square metre

Here

Cost of polishing the top = Area × Rate per square metre

= 4.505 × 16

= ₹ 72.08

Therefore, the area of the table cover which is hanging outside the top of the table is 2.97 m² and the cost of polishing the table top at ₹16 per square metre is ₹ 72.08.

**✦ Try This: **A table cover of dimensions 2 m 35 cm × 1 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 ₹15 per square metre.

**☛ Also Check: **NCERT Solutions for Class 7 Maths Chapter 11

**NCERT Exemplar Class 7 Maths Chapter 9 Problem 104**

## 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 ₹16 per square metre.

**Summary:**

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, the area of the table cover which is hanging outside the top of the table is 2.97 m². Also the cost of polishing the table top at ₹16 per square metre is ₹ 72.08

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