Algebraic Techniques, SM-Bank 154 A rectangle has an area of \(2pq^2+4p^2q\). By factorising the expression, find the length of the rectangle if the width is \(2pq\). (2 marks) Show Answers Only \(q+2p\) Show Worked Solution \(2pq^2+4pq^2\) \(=2pq\times q+2pq\times 2p\ \ \ \ (\text{HCF}=2pq)\) \(=2pq(q+2p)\) \(\therefore\ \text{Length of rectangle}=q+2p\)