Question

find the ratio of area of square of side a and that of an equilateral triangle of side a

Answer 1

Hey Friend ☺

We know that

area of square = side^2

= a^2

Area of equilateral triangle = root3/4 × side^2

= root3/4 × a^2

Ratio = a^2/root3a^2/4

a^2 get cancelled

= 1/root3/4

= 4/root3

So the ratio is 4/root3

Hope it helps you ..!!

✌

Answer 2

Area of square = a^2
Area of equilateral ∆ = √3a^2/4

Ratio = a^2: √3a^2/4
= 1:√3/4
= 4:√3
Answer
Hope you got this