A saree 5.5m long and 1.25m wide has a zari border 2.5cm broad along its length on either side. Along the width on one edge the border was 5cm wide and on the other side the zari was 25cm wide. Find the area of the zari. Please explain with a figure.

Dear Student,

The given conditions can be summed in a figure as shown below.

Area of zari = Area of outer rectangle (or sari) - Area of rectangle without zari

Clearly, area of sari = length × breadth = 5.5 m × 1.25 m =  6.875 m²

For area of rectangle without zari, we have

length = 5.5 m - (5 cm + 25 cm) = 5.5 m - 30 cm = 5.5 m - 0.3 m  [Using 100 cm = 1 m]

= 5.2 m

Similarly, its breadth = 1.25 m - (2.5 cm + 2.5 cm) = 1.25 m - 5 cm

= 1.25 - 0.05 m  [Again, using 100 cm = 1 m]

= 1.2 m

Therefore, area of sari without zari = length × breadth

= 5.2 m × 1.2 m = 6.24 m²

So, the area of zari = Area of outer rectangle (or sari) - Area of rectangle without zari

= 6.875 m² - 6.24 m² = 0.635 m²  

Hence, the area of zari is 0.635 m²
Regards