Question

if each side of an equilateral triangle is doubled then how many times will it area increases​

Answer 1

Answer:

Old

Let the side of eq ∆ be x

Area=√3/4 ×x^2

New

Side=2x

Area=√3/4(2x)^2

=√3/4×4x^2

Increases in area (times)=(√3/4×4x^2)÷(√3/4×x^2)

=4 times.