Question

A. 530 ft^2

B. 500 ft^2

C. 470 ft^2

D. 450 ft^2

Answer 1

Answer: OPTION A.

Explanation:

Find the length scale factor by dividing the known length of the larger triangle by the known length of the smaller triangle:

`lenght\ scale\ factor=(35)/(25)=(7)/(5)`

Then, the area scale factor is:

`area\ scale\ factor=((7)/(5))^2=(49)/(25)`

To find the area of the the larger triangle, multiply the area of the smaller triangle by the area scale factor. Then:

`A_((larger))=(270ft^2)((49)/(25))=529.2ft^2`

So, the option that shows an approximation of the area of the larger triangle is the option A:

`A_((larger))`≈
`530ft^2`