A right triangle has an area of 24ft^2. The dimensions of the triangle are increased by a scale factor of 6. What is the area of the new triangle?

Answer choices:
48ft^2
72ft^2
144ft^2
864ft^2

Question

A right triangle has an area of 24ft^2. The dimensions of the triangle are increased by a scale factor of 6. What is the area of the new triangle?

Answer choices:
48ft^2
72ft^2
144ft^2
864ft^2

ddcamp · Answer

$$Ratio\ of\ lengths=a:b \rightarrow Ratio\ of\ areas=a^2:b^2$$

ddcamp · Answer

Basically, if the length increases be a factor of 6, the area will increase by a factor of 6².

anonymous · Answer

So, it would be: ?


$$24ft ^{2} \times 6 = 144ft ^{2} ?$$

ddcamp · Answer

The side lengths are increased by a factor of 6, so the area would increase by a factor of 6²=36.

24ft²×36=?ft²

anonymous · Answer

$$864ft ^{2}?$$

lasttccasey · Answer

Yes that is correct @mangorox