Question

The similarity ratio of two regular octagons is 5 : 9. The area of the smaller octagon is 100 in2.

Find the area of the larger octagon

Answer 1

Answer:

180in2

Step-by-step explanation:

5/100 : 9/?

5/100-> 1/20

1/20 : 9/180

Answer 2

Step-by-step explanation:

for any two regular polygon,

if ratio of sides is a : b

=> ratio of their areas = a² : b²

here, a : b = 5 : 9. => a² : b² = 25 : 81

given

a²= 100 in²

=> b² = 81×100/25

= 324 in²

area of larger octagon = 324 in²