Two triangles are similar. The perimeter and area of the smaller triangle are 2. The perimeter of the larger triangle is 3. What is the area

If the perimeter of  the larger  triangle is  3   and  the  perimeter of  the  smaller  triangle  is 2, the  scale factor  is  (3/2)

And  the area of the  larger triangle      =

Area of  smaller  triangle  *  (scale factor)^2   =

2  *  ( 3/2)^2   =

2 *    9/4   =

18 /4   =

9/2  = 4.5