Find the area $ A $ of a square if diagonal $d = 24$.
Answer
$A = 288$
Explanation
STEP 1: find side $ a $
To find side $ a $ use formula:
$$ d = \sqrt{ 2 } \cdot a $$After substituting $ d = 24 $ we have:
$$ 24 = \sqrt{ 2 } \cdot a $$ $$ a = \dfrac{ 24 }{ \sqrt{ 2 } } $$ $$ a = 12 \sqrt{ 2 } $$STEP 2: find area $ A $
To find area $ A $ use formula:
$$ A = a^2 $$After substituting $ a = 12 \sqrt{ 2 } $ we have:
$$ A = \left(12 \sqrt{ 2 }\right)^2 $$ $$ A = 288 $$This page was created using
Square Calculator