If the perimeter of a square and a rectangle is equal to one another, find out the ratio of the area of both these shapes in case the sides of the rectangle are in the
ratio of 2 :5. Choose the correct choice from the following answers:
A) 40 : 49 B) 24 : 25 C) 4 : 5 D) 5 : 6 E) 4 : 9
Let side of square=a   length of rectangle=l   breadth of rectangle=b   l/b=2/5-------&gt;l=2b/5-----(1)   given 4a=2(l+b)--------&gt;4a=2(2b/5+b)   a=7b/10------(2)   we have to find l*b/a^2   substituting from (1) &amp;(2)   (b*2b/5)/49b^2/100------40/49   40 : 49nswer: 40 : 49
<result>A</result>
If the perimeter of a square and a rectangle is equal to one another, find out the ratio of the area of both these shapes in case the sides of the rectangle are in the
ratio of 2 :5.