7 A saree 5.5 m long and 1.25 m wide has a zari border
2.5 cm broad along its length on either side. Along the
width on one edge the border was 5 cm wide and on the other side
the zari was 25 cm wide. Find the area of the zari.
(Hint: Zari area along the length = 2.5 * 550 x 2 sq. cm
Zari area along the width = {5(125 - 5) - 25 (125 - 5)} sq. cm.)
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Area of zari=Area of an outer rectangle(or sari)−Area of a rectangle without zari
Clearly, area of sari=length× breadth=5.5m×1.25m=6.875sq.m
For area of rectangle without zari, we have
length=5.5m−(5+25)cm=5.5m−30cm=5.5m−0.3m=5.2m using 100cm=1m
Similarly, its breadth=1.25m−(2.5+2.5)cm=1.25m−5cm=1.25m−0.05m=1.2m using 100cm=1m
∴ Area of sari without zari=length×breadth=5.2m×1.2m=6.24m
2
So the area of zari=Area of outer rectangle(or sari)−Area of rectangle without zari
=6.875m
−6.24m
=0.635m
Hence, the area of zari is 0.635m
Hope it helps you.
Thank you
:-)
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