Question

If the perimeter of two similar triangles are in the ratio 4:1 ,then the ratio b/w areas will be

Answer 1

the ratio of the areas of triangle will be 16:1.

Step-by-step explanation:

∵ratio of perimeter of two triangles=4:1

∴ Ratio of corresponding sides of the two triangles=4:1

$The \: ratio \: of \: area \: of \: two \: triangles \: =Ratio \: of \: square \: of \: its \: corresponding \: sides \: = \: \frac{ {4}^{2} }{ {1}^{2} } = \frac{16}{1}$

Hence, then the ratio of the areas of triangle will be 16:1.