Equations, SM-Bank 053

Write an algebraic equation for the perimeter of the rectangle below and use it to calculate the value of \(x\) given the perimeter is \(62\). (2 marks)

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\(x=3\)

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\(P=2l+2w\)

\(62\)	\(=2(7x+1)+2\times 3x\)
\(62\)	\(=2\times 7x+2\times 1 +6x\)
\(62\)	\(=14x+2 +6x\)
\(20x+2\)	\(=62\)
\(20x\)	\(=60\)
\(x\)	\(=3\)