Area, SM-Bank 133

A kite has an area of 52 square metres. Given that one of the diagonals has a length of 8 metres, calculate the length of the other diagonal. (2 marks)

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\(13\ \text{m}\)

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\(\text{Let the unknown diagonal}=x\)

\(A\)	\(=\dfrac{1}{2}xy\)
\(52\)	\(=\dfrac{1}{2}\times 8\times x\)
\(4x\)	\(=52\)
\(x\)	\(=\dfrac{52}{4}\)
	\(=13\ \text{m}\)