Find the area $A$ of a square if diagonal $d = 14.6 cm$ .

Answer

$106.58 cm^{2}$

Explanation

STEP 1: find side $a$

To find side $a$ use formula:

d = 2 \cdot a

After substituting $d = 14.6 cm$ we have:

14.6 cm = 2 \cdot a

a = \frac{14.6 cm}{2}

a \approx 10.3238 cm

STEP 2: find area $A$

To find area $A$ use formula:

A = a^{2}

After substituting $a = 10.3238 cm$ we have:

A = (10.3238 cm)^{2}

A = 106.58 cm^{2}

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Find the area A of a square if diagonal d=14.6cm.

106.58cm2

Find the area $A$ of a square if diagonal $d = 14.6 cm$ .

$106.58 cm^{2}$