Question

What is the area of shape B?

Answer 1

312.5

Explanation:

12²=200cm²

15²=??

(15²×200)÷12²

=312.5

Answer 2

my answer is incorrect

Explanation:

Since the two shapes are similar, you can answer this question with a proportion.

`(12)/(200) = (15)/(area) \\12area = 200*15\\area = (200*15)/(12) = 250`

Another way you could solve it is to find the percentage growth of the height of the area.

`(15-12)/(12) = (3)/(12) = 25` percent growth.

We can multiply the area of A by 1.25 to find the area of B

`200*1.25 = 250`

edit: I was incorrect, it is not linear.

It would be
`200*(1.25)^2`