Photo Frame Border: Forming and Solving a Quadratic
Photo Frame Border: Forming and Solving a Quadratic
TGM Original
A photo of area \(140\)cm\(^{2}\) is placed on a photo frame of \(18\)cm by \(14\)cm with a border of
uniform width as shown.
- Form an equation of \(x\) and show that it reduces to \({{x}^{2}}-16x+28=0\).
- Solve the equation for \(x\) and hence, find the width of the border.
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Answer:\(2\text{ cm}\)
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