Find the area $A$ of a hexagon if short diagonal $s = 20 cm$ .

Answer

$2003 cm^{2}$

Explanation

STEP 1: find side $a$

To find side $a$ use formula:

s = 3 \cdot a

After substituting $s = 20 cm$ we have:

20 cm = 3 \cdot a

a = \frac{20 cm}{3}

a = \frac{20 3}{3} cm

STEP 2: find area $A$

To find area $A$ use formula:

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

After substituting $a = \frac{20 3}{3} cm$ we have:

A = \frac{3 3 \cdot ( \frac{20 3}{3} cm ) ^{2}}{2}

A = \frac{3 3 \cdot \frac{400}{3} cm ^{2}}{2}

A = \frac{400 3 cm ^{2}}{2}

A = 2003 cm^{2}

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Find the area A of a hexagon if short diagonal s=20cm.

2003​cm2

Find the area $A$ of a hexagon if short diagonal $s = 20 cm$ .

$2003 cm^{2}$