Question

Each side of rectangle is doubled,find the ratio between the following:-

1) original perimeter and the resulting perimeter

2) original Area and the resulting area.

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