Question

A saree is 5m long and 1.3m wide. A border of width 25cm is printed along its sides. The cost of printing the border at Rs.1 per 10$c{m^2}$.

Answer 1

Hint: we will start by making the diagram according to information given in the question. To calculate the cost, we will calculate the area of the border by subtracting the inner rectangle area from the outer rectangle area and then multiply with the given rate.

Complete step by step answer:
The diagram for the question is given below:

EFGH is the rectangular saree having length = 5m and breadth =1.3m
There is a border around the saree of 25cm.
We know that 100cm = 1m
$\therefore $ 25cm =$\dfrac{{25}}{{100}}$ m=0.25m.
So, width of border around the saree = 0.25m
We have to calculate the area of the border to calculate the cost of printing the border.
We know that the area of a rectangle is given as:
Area = length $ \times $ breadth.
Therefore, the area of the inner rectangle is given as:
Area of rectangle EFGH= length $ \times $ breadth = $5m \times 1.3m = 6.5{m^2}$
The length and breadth of the outer rectangle are:
Length of outer rectangle = (5- 0.25 - 0.25)m =4.5 m
Breadth of outer rectangle = (1.3 - 0.25 - 0.25)m = 0.8m
Now we will calculate the area of the inner rectangle:
Area of the rectangle ABCD = length $ \times $ breadth = $4.5m \times 0.8m = 3.6{m^2}$
The area of the border = Area of the rectangle EFGH - Area of rectangle ABCD
                                     = $6.5{m^2}$ -$3.6{m^2}$ =3.4${m^2}$ =$2.9 \times (100cm)(100cm) = 29000c{m^2}$
The rate of printing the border = Rs.1 per 10$c{m^2}$.
$\therefore $ The cost of painting the border = rate $ \times $ area of border=$Rs.\dfrac{{29000}}{{10}}$ =Rs.2900.

So, the correct answer is “Rs.2900”.

Note: In questions related to borders around a 2D shape, we should first make the diagram and then try to calculate the area of the border. Here you can also calculate the area of the border in $c{m^2}$ by taking length and breadth in ‘cm’ as the rate is given in terms of per 10$c{m^2}$.