Question

the areas of two equilateral triangles are 27 yd squared and 75 yd squared. Find the ratio of their perimeters.

Answer 1

first you would have to find the Perimeters of each triangle.

Answer 2

since you have equilateeral triangles all of the three sides would be equal. You can extract the sides from the formula since you know the Area.

Answer 3

ok thank you I got it from here (:

Answer 4

np gl

Answer 5

they want you to know this useful fact
if the ratio of the sides of two similar shapes is \( \frac{s_1}{s_2}\),
the ratio of their areas will be \( \frac{s_1^2}{s_2^2}\)
In other words, the areas will be the ratio of sides squared

for an equilateral triangle, the 3 sides are equal and the perimeter is 3 s
we can say
\[ \frac{9 s_1^2}{9 s_2^2} = \frac{27}{75} \]
if we take the square root of both sides we will find the ratio of their perimeters
\[ \frac{\sqrt{27}}{\sqrt{75}}= \frac{3 \sqrt{3}}{5\sqrt{3}}= \frac{3}{5}\]