Question

Each side of a rectangle is doubled. Find the ratio between perimeters of the of the original rectangle and the resulting rectangle. Also find the area of the original rectangle and the resulting rectangle.

Answer 1

Let the sides of first rectangle be 'l' and 'b'. That implies second rectangle sides 2l and 2b.
Perimeter of original rectangle is 2(l+b) and resulting rectangle is 2(2l+2b).
Ratio of perimeter = 2(l+b)/ 4(l+b)
= 1/2 =1:2
Area of original rectangle is lb and resulting rectangle is 2l×2b.
Ratio of area = lb/ 4lb =1/4 =1:4

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Answer 2

Answer:

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