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SSAT Upper Level Math : How to find the area of a hexagon

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Example Questions

Example Question #751 : Geometry

Find the area of a regular hexagon with side lengths 12c .

Possible Answers:

$216c^2\sqrt3$

$108c^2\sqrt3$

$432c^2\sqrt3$

$216\sqrt3$

Correct answer:

$216c^2\sqrt3$

Explanation:

Use the following formula to find the area of a regular hexagon:

$\text{Area}=\frac{3\sqrt3}{2}\times \text{side}^2$ .

Now, substitute in the length of the side into this equation.

$\text{Area}=\frac{3\sqrt3}{2}\times (12c)^2$

$\text{Area}=\frac{3\sqrt3}{2}\times 144c^2$

$\text{Area}=\frac{432c^2\sqrt3}{2}=216c^2\sqrt3$

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Example Question #12 : How To Find The Area Of A Hexagon

Find the area of a regular hexagon with side lengths of $\frac{1}{2}$ .

Possible Answers:

$\frac{3\sqrt3}{8}$

$\frac{3\sqrt3}{4}$

$\frac{\sqrt3}{4}$

$\frac{3\sqrt3}{2}$

Correct answer:

$\frac{3\sqrt3}{8}$

Explanation:

Use the following formula to find the area of a regular hexagon:

$\text{Area}=\frac{3\sqrt3}{2}\times \text{side}^2$ .

Now, substitute in the length of the side into this equation.

$\text{Area}=\frac{3\sqrt3}{2}\times \left(\frac{1}{2}\right)^2$

$\text{Area}=\frac{3\sqrt3}{2}\times \frac{1}{4}$

$\text{Area}=\frac{3\sqrt3}{8}$

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SSAT Upper Level Math : How to find the area of a hexagon

Study concepts, example questions & explanations for SSAT Upper Level Math

All SSAT Upper Level Math Resources

Example Questions

Example Question #751 : Geometry

Example Question #12 : How To Find The Area Of A Hexagon

All SSAT Upper Level Math Resources

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