A rectangular garden will be built against a straight wall

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

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