Question

If the length and breadth of a rectangle are doubled, how many times the perimeter of the
old rectangle will that of the new rectangle be?
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Answer 1

Answer:

Step-by-step explanation:

let  L and b be the length and breadth of the rectangle

perimeter of the rectangle = 2(L+b) (equation 1) (before doubling the length and breadth)

when we double the length and breadth it becomes 2L and 2b respectively

therefore the the new perimeter becomes 2(2L+2b)

        we can take the 2 common outside the bracket so it becomes 2x2(L+b)

         therefore it becomes 4(L+b) (equation 2)

      now lets divide equation 1 by equation 2

       2(L+b)/4(L+b) =1/2

     

      hence the perimeter of the old rectangle is half of the perimeter of the new rectangle