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. 165 in2 324 in2 180 in2

Answer 1

180 in²

Explanation:

Smaller octagon : larger octagon = 5 : 9

The area of the smaller octagon is 100 in2. Find the area of the larger octagon

Let x = area of larger octagon

Area of smaller octagon : Area of larger octagon = 100 in² : x in²

5 : 9 = 100 in² : x in²

5/9 = 100/x

Cross product

5 * x = 9 * 100

5x = 900

x = 900/5

= 180

x = 180 in²