The ratio of the area of a smaller triangle to the area of a larger triangle is 1:4. If the area of the smaller triangle is 30, find the area of the larger triangle.
Is the answer just 120?

Question

The ratio of the area of a smaller triangle to the area of a larger triangle is 1:4. If the area of the smaller triangle is 30, find the area of the larger triangle.
Is the answer just 120?

anonymous · Answer

No

anonymous · Answer

It would be..
sqrt(30)=5.477

5.477*4=21.91

21.91*21.91=480

anonymous · Answer

But it's not a square, it's a triangle

anonymous · Answer

If it was a square its area would be sqrt(60)=7.745

7.745*7.745*(1/2)=30
5.477*5.477=30

So the answer is still correct.

kinggeorge · Answer

If it's a ratio of their areas, the area of the larger should be 120.

anonymous · Answer

So which one is it o-o

anonymous · Answer

Im sorry I should of explained this better.

A=.5(lenght X width)
30=.5(7.745*7.745)

The new triangle has sides that are 4 times as bigger.

x=.5(30.98*30.98)
x=480

kinggeorge · Answer

We're looking at a ratio of areas, not sides. Suppose you're first triangle has area of 30. Now we want to find a triangle that has an area x such that x/30=4/1. Solve this, you get that x=120.

anonymous · Answer

fight!fight!fight!fight!

anonymous · Answer

King is right -_-

kinggeorge · Answer

I've made worse mistakes than doing ratios wrong :P