Question

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 x 550 x 2 sq. cm
Zari area along the width = {5(125 - 5) + 25 (125 - 5)} sq. cm.)​

Answer 1

Answer:

Step-by-step explanation:

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 zariClearly, area of sari = length × breadth = 5.5 m × 1.25 m =  6.875 m2For area of rectangle without zari, we havelength = 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 mSimilarly, 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 mTherefore, area of sari without zari = length × breadth= 5.2 m × 1.2 m = 6.24 m2So, 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.

Answer 2

Answer:

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

2

−6.24m

2

=0.635m

2

Hence, the area of zari is 0.635m

2