Solve.
-The length and width of a rectangle have a sum of 90. What dimensions give the maximum area?
A) Length 36 and width 54
B) Length 35 and width 55
C) Length 45 and width 45
D) Length 44 and width 46

Question

Quizplus · Accepted Answer

The maximum area of a rectangle, given a fixed perimeter, is achieved when the rectangle is a square. Since the sum of the length and width is 90, dividing this equally gives dimensions of 45 by 45, which maximizes the area.

Solve. -The Length and Width of a Rectangle Have a Sum