A rectangular community garden has width $x$ metres and length $(x+3)$ metres. Its area is \(40\

Question

A rectangular community garden has width $x$ metres and length $(x+3)$ metres. Its area is $40\,\text{m}^2$. Form an equation in $x$ and show that it simplifies to $x^2+3x-40=0$. Solve the equation. Hence, find the dimensions of the garden. Explain why one of the solutions is rejected.

Accepted Answer

(a) $x^2+3x-40=0$; (b) $x=5$ or $x=-8$; (c) $5\,\text{m}$ by $8\,\text{m}$.

Sec 3/4 E Math T01-Q36 - Forming and solving a quadratic equation in context

Sec 3/4 E Math T01-Q36 - Forming and solving a quadratic equation in context

Solution:

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