Answer:
180 in²
Step-by-step 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
