Find the perimeter $P$ of a rhombus if area $A = 480 cm$ and incircle radius $r = 10 cm$ .

Answer

$30.5577$

Explanation

STEP 1: find height $h$

To find height $h$ use formula:

h = 2 \cdot r

After substituting $r = 10 cm$ we have:

h = 2 \cdot 10 cm

h = 20 cm

STEP 2: find side $a$

To find side $a$ use formula:

A = a \cdot h

After substituting $A = 480 cm$ and $h = 20 cm$ we have:

480 cm = 20 cm \cdot a

a = \frac{480 cm}{20 cm}

a \approx 7.6394

STEP 3: find perimeter $P$

To find perimeter $P$ use formula:

P = 4 \cdot a

After substituting $a = 7.6394 cm^{0}$ we have:

P = 4 \cdot 7.6394

P \approx 30.5577

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Find the perimeter P of a rhombus if area A=480cm and incircle radius r=10cm.

30.5577

Find the perimeter $P$ of a rhombus if area $A = 480 cm$ and incircle radius $r = 10 cm$ .

$30.5577$