Mark M. answered • 04/08/16

Tutor

5.0
(243)
Mathematics Teacher - NCLB Highly Qualified

Bob's method is incorrect. Here is a counterexample.

Measure a rectangle. The perimeter is 24 units.

Therefore the length plus the width is 12

Calculating the possible areas for some integer values of the length and width:

1 and 11, area = 11

2 and 10, area = 20

3 and 9, area = 27

4 and 8, area = 32

and so on.

The area of an irregular shape cannot be determined from solely the length of the perimeter.

David W.

area of the irregular shape is less than 286.5 cmbecause the area if a circle [ A=C^{2}^{2}/(4π) ] is the maximum for a given perimeter.04/09/16