A triangular piece of rubber is stretched equally on all three sides (without distorting or changing its shape) such that the new sides are 2 times the length of the original sides. How does the area of the triangle change?

Question

jim_thompson5910 · Answer

Each side is doubled, so the area is multiplied by 4.

Why 4? because 2^2 = 4

jim_thompson5910 · Answer

If each side is tripled, then the area would increase by a factor of 9

3^2 = 9

jim_thompson5910 · Answer

If each side is quadrupled, then the area would increase by a factor of 16

4^2 = 16

jim_thompson5910 · Answer

and so on...

ka.wehi · Answer

If ADE  ABC in the diagram, which pair of ratios must necessarily be equal?