Question

A table cover \[4m \times 2m\] is spread on a table. Find the cost of polishing the top of the table at Rs. \[2.25\] per sq. m, if \[25\] cm table cover is hanging all-round the table.

Answer 1

Hint: We have to find the length and width of the table top and then we will find the area and the cost of the polishing is found using the area.

Complete step-by-step answer:
It is given that the length of the table cover is \[4m\] and the width of the table cover is \[2m\]. The table cover is hanging all-round the table about \[25\] cm.
We have to find the cost of polishing the top of the table.
Now, the table cover is hanging in two sides along the length and two sides along the width. So, we have to eliminate that part to get the actual length of the table top. Here we have to subtract the length and width of the table with the length hanging all around the table two times since the table has four sides.
So, the length of the table top is given by,
\[l = 4 - (2 \times 0.25)\]
By simplifying the above equation we get,
\[l = 3.5\]
Similarly the width of the table top is given by,
\[b = 2 - (2 \times 0.25)\]
Also by simplifying the above equation we get,
\[b = 1.5\]
We know that the area of a rectangle with \[l\] as length and \[b\] as width is \[l \times b\].
Let us substitute the value of the length and the width in the area of rectangle we get,
The area of the table top is \[3.5 \times 1.5\] sq. m.
By multiplying the values we get,
The area of the table top is \[5.25\] sq. m
The cost of polishing the top of the table is given Rs. \[2.25\] per sq. m.
We have to multiply the cost with area to find the cost of polishing,
That is the total cost of polishing is Rs. \[2.25 \times 5.25\]
Now by multiplying the term we get, the cost of polishing the table is Rs. 11.8125
Hence, the cost of polishing is Rs. 11.8125.

Note: The table cover is hanging in two sides along the length and two sides along the width. So, we have to eliminate that part to get the actual length of the tabletop. This is the important step in finding the cost of polishing. Also here we should subtract two times the hanging length because the table has the hanging of table cover on all the four sides.