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Question

A saree is 5 m long and 1.3 m wide. A border of width 25 cm is printed along its sides. Find the cost of printing the border at Rs 1 per 10 cm2.

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Solution

Let ABCD be the saree and EFGH be the part of saree without border.
Length, AB= 5 m
Breadth, BC = 1.3 m
Width of the border of the saree = 25 cm = 0.25 m

∴ Area of ABCD = 5 m × 1.3 m = 6.5 m2
Length, GH = {5 -( 0.25 + 0.25} m = 4.5 m
Breadth, FG = {1.3 - 0.25 + 0.25} m = 0.8 m
∴ Area of EFGH = 4.5 m × .8 m = 3.6 m2
Area of the border = Area of ABCD − Area of EFGH
= 6.5 m2 − 3.6 m2
= 2.9 m2 = 29000 cm2 [since 1 m2 = 10000 cm2]
Rate of printing the border = Rs 1 per 10 cm2
∴ Total cost of printing the border = Rs 1×2900010
= Rs 2900


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