Question

Ratio of perimeters of two equilateral triangles are 4:5. Find th
ratio to their areas.​

Answer 1

Answer:

Ratio of area=$\frac{16}{25}$

Step-by-step explanation:

$Ratio of perimeters = \frac{4}{5}\\\frac{3*SIDE}{3*side} = \frac{4}{5} \\\frac{SIDE}{side} = \frac{4}{5}\\\frac{Area of First triangle}{Area of second triangle}=\frac{\sqrt{3} }{4} *SIDE^{2} /\frac{\sqrt{3} }{4} *side^{2}\\=(\frac{SIDE}{side} )^{2} \\=(\frac{4}{5}) ^{2} \\\ = \frac{16}{25}$