Algebra 7

A rectangular plot has an area of 77 m². The length of the plot is 6 metres shorter than twice its width. Let the width of the plot be metres.

Write down a quadratic equation in for this situation and solve the equation to find the width of the plot.

Solve the quadratic equation by completing the square. Give your answers in surd form.

A factory machines a rectangular sheet so that its length is 5 cm more than its width. The area of the sheet is 84 cm².

Let the width of the sheet be cm.

Form a quadratic equation for , solve it, and explain which solution is suitable for this context.