Question

The area of a regular octagon is 25 cm2. What is the area of a regular octagon with sides five times as large?

A.



125 cm2


B.



3125 cm2


C.



625 cm2


D.



560 cm2

Answer 1

The ratio between sides and area is a:b and a^2:b^2. THerefore, first find the square root of the area 25 which is 5. Then multiply this by 5 to signify that the sides are 5 times as big.
5/25
Now, square it to get the area of the new figure. 25:625