Question
Find the diagonal $ d_1 $ of a rhombus if area $A = 140\, \text{cm}$ and diagonal $d_2 = 20\, \text{cm}$.
Answer
$4.4563$
Explanation
To find diagonal $ d1 $ use formula:
$$ A = \dfrac{ d_1 \cdot d_2 }{ 2 } $$After substituting $A = 140\, \text{cm}$ and $d_2 = 20\, \text{cm}$ we have:
$$ 140\, \text{cm} = \dfrac{ d_1 \cdot \left( 20\, \text{cm} \right)^{4} }{ 2 } $$$$ 140\, \text{cm} \cdot 2 = d_1 \cdot \left( 20\, \text{cm} \right)^{4} $$$$ 280\, \text{cm} = 20\, \text{cm} \cdot d_1 $$$$ d_1 = \dfrac{ 280\, \text{cm}}{ 20\, \text{cm} } $$$$ d_1 \approx 4.4563 $$This page was created using
Rhombus Calculator