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