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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