Question

An octagon has side length 10.9 in. The perimeter of the octagon is 87.2 in cm and the area is 392.4 in2. A second octagon has corresponding side lengths equal to 21.8 in. Find the area of the second octagon. Round to the nearest hundredth.

98.1 in2

1569.6 in2

784.8 in2

196.2 in2

Answer 1

If the figures/solids are similar, the ratio of the areas is equal to the square of the ratio of the corresponding sides. Let x be the area of the second figure. The equation that would best allow us to answer this item is,
                      (394.2 in² / x in²) = (10.9 / 21.8)²
The value of x from the equation is 1576.8 in².

Thus, the nearest answer is the second choice. 

Answer 2

Answer:

1569.6 in2

Step-by-step explanation:

(392.4 in² / x in²) = (10.9 / 21.8)²

The value of x from the equation is 1569.6 in2