a saree 5.5m long and 1.25m wide has a border 2.5cm broad along its length on either side.along the width on one edge the border was 5cm wide and on other side the border was 25cm wide. find the area of border.
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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.
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