Question

A dupatta 3.5m long and 1.25 wide has a silk border 2.5 cm broad along its length on either side the border is 4cm along the width on one end and 20 cm wide on the other end.find the area of the silk border.

Answer 1

Given:

Length of dupatta = 3.5m

Width of dupatta = 1.25cm

Width of silk border = 2.5 cm

Length of silk border at one end = 4cm

Length of silk border at other end = 20 cm

To Find:

Area of the silk border

Solution:

Area of dupatta = length × breadth

= 3.5 m × 1.25 m

=  4.375 m²

Area of rectangle without silk border -

= 3.5 - ( 4 + 20 )

= 3.5  - 24

= 3.5 - 0.24   [Using 100 cm = 1 m]

= 3.26 m

Similarly, breadth = 1.25 m - (2.5  + 2.5)

= 1.25 - 5

= 1.25 - 0.05

= 1.2 m

Therefore, area of Dupatta without silk border = length × breadth

= 3.26  × 1.2  

= 3.91 m²

Area of border = Area of dupatta - Area without silk border

= 4.375  - 3.91

= 0.465

Answer: The area of silk border is 0.465m²