Find the area $A$ of a hexagon if long diagonal $d = 51 cm$ .

Answer

$\frac{7803 3}{8} cm^{2}$

Explanation

STEP 1: find side $a$

To find side $a$ use formula:

d = 2 \cdot a

After substituting $d = 51 cm$ we have:

51 cm = 2 \cdot a

a = \frac{51 cm}{2}

a = \frac{51}{2} cm

STEP 2: find area $A$

To find area $A$ use formula:

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

After substituting $a = \frac{51}{2} cm$ we have:

A = \frac{3 3 \cdot ( \frac{51}{2} cm ) ^{2}}{2}

A = \frac{3 3 \cdot \frac{2601}{4} cm ^{2}}{2}

A = \frac{\frac{7803 3}{4} cm ^{2}}{2}

A = \frac{7803 3}{8} cm^{2}

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Find the area A of a hexagon if long diagonal d=51cm.

878033​​cm2

Find the area $A$ of a hexagon if long diagonal $d = 51 cm$ .

$\frac{7803 3}{8} cm^{2}$