Question

The area of triangle B is 25 times greater than the area of triangle A.The perimeter of triangle B is how many times greater than the perimeter of triangle A?

Answer 1

The perimeter of triangle B is 5 times greater than that of A.
The ratio of areas in this example is 1:25.
The ratio of areas is the square of the ratio of perimeters.
$\sqrt1 : \sqrt{25} =1 : 5$

Answer 2

The ratio of areas is the square of the ratio of perimeters;
The area of triangle B / The area of triangle A = 25 ;
The perimeter of triangle B / The perimeter of triangle A = $\sqrt{25} = 5 ;$
The perimeter of triangle B is 5many times greater than the perimeter oftriangle A!