Find the area $A$ of a hexagon if short diagonal $s = 1 cm$ .

Answer

$\frac{3}{2} cm^{2}$

Explanation

STEP 1: find side $a$

To find side $a$ use formula:

s = 3 \cdot a

After substituting $s = 1 cm$ we have:

1 cm = 3 \cdot a

a = \frac{1 cm}{3}

a = \frac{3}{3} cm

STEP 2: find area $A$

To find area $A$ use formula:

A = \frac{3 3 \cdot a ^{2}}{2}

After substituting $a = \frac{3}{3} cm$ we have:

A = \frac{3 3 \cdot ( \frac{3}{3} cm ) ^{2}}{2}

A = \frac{3 3 \cdot \frac{1}{3} cm ^{2}}{2}

A = \frac{3 cm ^{2}}{2}

A = \frac{3}{2} cm^{2}

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Find the area A of a hexagon if short diagonal s=1cm.

23​​cm2

Find the area $A$ of a hexagon if short diagonal $s = 1 cm$ .

$\frac{3}{2} cm^{2}$