The formula for the area of a regular hexagon is A = (3√3/2) × s², where s is the length of a side. Therefore, we can solve for s by setting the given area equal to the formula:
45 = (3√3/2) × s²
Divide both sides by (3√3/2):
45 ÷ (3√3/2) = s²
Multiply both sides by (2/3√3):
30/√3 = s²
Take the square root of both sides:
s ≈ 10.2
Therefore, the length of a side to the nearest tenth is 10.2 in. The answer is d.
The area of a regular hexagon is 45 in.² What is the length of a side to the nearest tenth?
a. 7.5 in.
b. 4.2 in.
c. 17.3 in.
d. 10.2 in.
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