Question
Find the diagonal $ d_1 $ of a rhombus if area $A = 28\, \text{cm}$ and diagonal $d_2 = 8\, \text{cm}$.
Answer
$2.2282$
Explanation
To find diagonal $ d1 $ use formula:
$$ A = \dfrac{ d_1 \cdot d_2 }{ 2 } $$After substituting $A = 28\, \text{cm}$ and $d_2 = 8\, \text{cm}$ we have:
$$ 28\, \text{cm} = \dfrac{ d_1 \cdot \left( 8\, \text{cm} \right)^{4} }{ 2 } $$$$ 28\, \text{cm} \cdot 2 = d_1 \cdot \left( 8\, \text{cm} \right)^{4} $$$$ 56\, \text{cm} = 8\, \text{cm} \cdot d_1 $$$$ d_1 = \dfrac{ 56\, \text{cm}}{ 8\, \text{cm} } $$$$ d_1 \approx 2.2282 $$This page was created using
Rhombus Calculator