Question

If the length of rectangle A is one half the length of B &the widght is rectangle A is one half the widght of rectangle B what is the ration of the area of rectangle A to the area of rectangle B

Answer 1

The ratio will be 1:4 or 1/4

Answer 2

Let the length and breadth of rectangle B be x and y respectively and by the given condition the length and breadth of rectangle A is x/2 and y/2 respectively.
∴ area of rectangle A = x/2 * y/2
                                  = xy/4 ------------------ 1
   area of rectangle B = x*y
                                  = xy  --------------------- 2

∴ ratio of areas of rectangle A:B = xy/4: xy
                                                    = 1 : 4