A saree is 5 m long and 1.3 m wide. A border of width 25 cm is printed along its sides. Find the cost of printing the border at Rs. 1 per 10 cm².

Let ABCD be the saree along with the border.

⇒ AB = 1.3 m and BC = 5 m

We have 1 m = 100 cm

⇒ AB = 130 cm and BC = 500 cm

Given the border is 25 cm wide (shaded region).

So, side EF of EFGH (saree without the border) as shown in the figure is given by

EF = (AB – 25 – 25) cm

⇒ EF = (130 – 50) cm

∴ EF = 80 cm

Similarly, we have FG = (BC – 25 – 25) cm

⇒ FG = (500 – 50) cm

∴ FG = 450 cm

We have, area of border (shaded region) equal to the difference between the area of the saree along with the border and the area of the saree.

⇒ Area of border = Area of ABCD – Area of EFGH

We know, area of a rectangle = length × breadth

So, we have Area of rectangle ABCD = AB × BC

⇒ Area of ABCD = 130 × 500

∴ Area of ABCD = 65000 cm²

Similarly, we have Area of rectangle EFGH = EF × FG

⇒ Area of EFGH = 80 × 450

∴ Area of EFGH = 36000 cm²

So, Area of border = (65000 – 36000) cm²

∴ Area of border = 29000 cm²

It is given that the cost for printing 10 cm² border is Rs. 1.

⇒ Cost of printing 29000 cm² border

∴ Cost of printing = Rs. 2900

Thus, the cost of printing the border is Rs. 2900.