A rectangular garden has an area of

MATHEMATICS · Multi-part · CBSE · Mathematics · Quadratic Equations · Quadratic Equations

Problem

A rectangular garden has an area of 90 m290\,\text{m}^2. The width of the garden is 33 metres less than half of its length. (i) Form a quadratic equation in the length ll (in metres). (ii) Solve the quadratic equation obtained in part (i) and give the possible value(s) of ll correct to one decimal place. (iii) Find the corresponding width of the garden. (iv) Verify that your dimensions give the required area.

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