Find the area $A$ of a hexagon if long diagonal $d = 14 cm$ .

Answer

$\frac{147 3}{2} cm^{2}$

Explanation

STEP 1: find side $a$

To find side $a$ use formula:

d = 2 \cdot a

After substituting $d = 14 cm$ we have:

14 cm = 2 \cdot a

a = \frac{14 cm}{2}

a = 7 cm

STEP 2: find area $A$

To find area $A$ use formula:

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

After substituting $a = 7 cm$ we have:

A = \frac{3 3 \cdot ( 7 cm ) ^{2}}{2}

A = \frac{3 3 \cdot 49 cm ^{2}}{2}

A = \frac{147 3 cm ^{2}}{2}

A = \frac{147 3}{2} cm^{2}

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Find the area A of a hexagon if long diagonal d=14cm.

21473​​cm2

Find the area $A$ of a hexagon if long diagonal $d = 14 cm$ .

$\frac{147 3}{2} cm^{2}$