Question

A peice of cloth is 5 m long and 2 m wide. A border of width 50 cm has to printed and stitched all around it on the outside. Find the cost of printing the border at rupees 200 per sq m​

Answer 1

Answer:

Rs 1200

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Answer 2

$\textbf{Given:}\\\\\text{Length of the given piece of cloth = 5 m}\\\\\text{Breadth of the given piece of cloth = 2 m}\\\\ \text{Width of the given border = 50 cm = 0.5 m}\\\\ \text{The cost of printing is Rs.200/metre.}\\\\\\\text{Total Length of the cloth (with border)=5+(2\times0.5)=(5+1)=6 m }\\\\\text{Breadth of cloth (with border) = {2+ (2\times0.5)} = (2+1) = 3 m }$

Now , to find the TOTAL BORDER LENGTH we have to find the PERIMETER of the final piece of rectangular cloth by using the following formula :

$\text{Perimeter = 2 \times (final length of the cloth + final breadth of the cloth)}\\\\\text{Perimeter = 2\times(6+3) }\\\\\text{Perimeter = (2\times9) }\\\\\text{= 18 m}\\\\\text{Now,the final cost : 1 m cost = Rs. 200}\\\\\text{18 m cost = 200\times18 = \boxed{Rs . 3600}}$