96.3k views
0 votes
What is the minimum perimeter of a rectangle that has an area of 84 square inches?

User Awsmike
by
8.2k points

1 Answer

4 votes
First, choose variables to represent the length and width of this rectangle. Why not use L and W? Then the area is L*W=84 sq. in., and this equation could be solved for either L or W. If for L, then L=84/W.

The Perimeter of the rectangle is P = 2L + 2W. Substitute the above expression for L into this expression for P. Doing so eliminates L from your equation. Now consider graphing your equation for P(W). Does your graph show a minimum value? If so, at which W value?
User JonathanBristow
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories