Question

A. 530 ft^2

B. 500 ft^2

C. 470 ft^2

D. 450 ft^2

Answer 1

Answer: OPTION A.

Step-by-step explanation:

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

$lenght\ scale\ factor=\frac{35}{25}=\frac{7}{5}$

Then, the  area scale factor is:

$area\ scale\ factor=(\frac{7}{5})^2=\frac{49}{25}$

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

$A_{(larger)}=(270ft^2)(\frac{49}{25})=529.2ft^2$

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

$A_{(larger)}$≈$530ft^2$