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Area, SM-Bank 149

A rhombus has an area of 250 square centimetres. If one diagonal measures 10 centimetres, find the length of the other diagonal.  (2 marks)

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\(50\ \text{cm}\)

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\(\text{Area of rhombus}=250\ \text{cm}^2\)

\(\text{Length of diagonal:}\ x=10\ \text{m}\)

\(A\) \(=\dfrac{1}{2}xy\)
\(250\) \(=\dfrac{1}{2}\times 10\times y\)
\(5y\) \(=250\)
\(y\) \(=\dfrac{250}{5}\)
  \(=50\ \text{cm}\)

 
\(\therefore\ \text{The other diagonal is }50\ \text{cm long.}\)

Filed Under: Quadrilaterals Tagged With: num-title-ct-core, smc-4943-50-Rhombuses and kites

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