Find the height $ h $ of a rhombus if area $A = 320$ and perimeter $P = 160$.
Answer
$h = 8$
Explanation
STEP 1: find side $ a $
To find side $ a $ use formula:
$$ P = 4 \cdot a $$After substituting $ P = 160 $ we have:
$$ 160 = 4 \cdot a $$ $$ a = \dfrac{ 160 }{ 4 } $$ $$ a = 40 $$STEP 2: find height $ h $
To find height $ h $ use formula:
$$ A = a \cdot h $$After substituting $ A = 320 $ and $ a = 40 $ we have:
$$ 320 = 40 \cdot h $$$$ h = \dfrac{ 320 }{ 40 } $$$$ h = 8 $$This page was created using
Rhombus Calculator