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Vilka [71]
3 years ago
12

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 c

orresponding 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
Mathematics
2 answers:
Lana71 [14]3 years ago
8 0
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. 
Murljashka [212]3 years ago
3 0

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

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