Find the perimeter $P$ of a hexagon if area $A = 4863 cm$ .

Answer

$108$

Explanation

STEP 1: find side $a$

To find side $a$ use formula:

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

After substituting $A = 4863 cm$ we have:

4863 cm = \frac{3 3 \cdot a ^{2}}{2}

4863 cm \cdot 2 = 33 \cdot a^{2}

9723 cm = 33 \cdot a^{2}

a^{2} = \frac{972 3 cm}{3 3}

a^{2} = 324 cm

a = 324 cm

a = 18

STEP 2: find perimeter $P$

To find perimeter $P$ use formula:

P = 6 \cdot a

After substituting $a = 18 cm^{0}$ we have:

P = 6 \cdot 18

P = 108

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Find the perimeter P of a hexagon if area A=4863​cm.

108

Find the perimeter $P$ of a hexagon if area $A = 4863 cm$ .

$108$