Solve the problem.
-The length and width of a rectangle have a sum of 70. What dimensions give the maximum area?
A) Length 25 and width 45
B) Length 35 and width 35
C) Length 26 and width 44
D) Length 34 and width 36

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 70, dividing this equally gives dimensions of 35 by 35, which maximizes the area.

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