MATHEMATICS · Multi-part · AoPS · Mathematics · Quadratic Equations - Part 2 · Quadratic Equations - Part 2
Problem
A rectangular garden has an area of 180m2. The length of the garden exceeds its breadth by 7m. Answer the following:
(i) Taking the breadth to be xm, form a quadratic equation in x representing the given information.
(ii) Solve the quadratic equation obtained in part (i) and find the breadth correct to two decimal places.
(iii) Determine the corresponding length of the garden, again correct to two decimal places.
(iv) Verify that the calculated length and breadth satisfy the given area.