Question

A saree $5.5m$ long and $1.25m$ wide has 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.

Answer 1

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

Clearly, area of sari$=$length$\times$ breadth$=5.5$m$\times 1.25$m$=6.875$sq.m

For area of rectangle without zari, we have

length$=5.5$m$-(5+25)$cm$=5.5$m$-30$cm$=5.5$m$-0.3$m$=5.2$m using $100$cm$=1$m

Similarly, its breadth$=1.25$m$-(2.5+2.5)$cm$=1.25$m$-5$cm$=1.25$m$-0.05$m$=1.2$m using $100$cm$=1$m

$\therefore$ Area of sari without zari$=$length$\times$breadth$=5.2$m$\times 1.2$m$=6.24m^2$

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

$=6.875m^2-6.24m^2=0.635m^2$

Hence, the area of zari is $0.635m^2$