Mathematics

Problem

A rectangular garden will be built against a straight wall, so only the remaining three sides require fencing. If

40\text{ m}

of fencing is available, which set of dimensions will maximize the area of the garden? a)

8\text{ m}

perpendicular to the wall and

24\text{ m}

parallel to the wall b)

12\text{ m}

perpendicular to the wall and

16\text{ m}

parallel to the wall c)

10\text{ m}

perpendicular to the wall and

20\text{ m}

parallel to the wall d)

10\text{ m}

perpendicular to the wall and

10\text{ m}

parallel to the wall