How do you convert perimeter to area with a perimeter of 96?

Answer 1

Assuming there are 4 sides making up the perimeter of 96 units, and the area is square:

96 / 4 = 24 units (each side)

Therefore: 24 x 24 = 576 square units

If the area is rectangular, the length and width of two sides of the perimeter must be given.

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Answer #2:

The answer is: You can't. There isn't necessarily any relationship between

perimeter and area, and knowing one of them doesn't tell you the other one.

As you saw clearly in Answer #1 above, you can't even begin to convert a

perimeter to an area without some more information, and if none is given,

then you have to assume some.

A perimeter alone doesn't tell you the area, the dimensions, or even the shape.

Even if we assume that your perimeter of 96 is a rectangle, there are still an

infinite number of different rectangles, all with the same perimeter but different

areas! Here are a few of them:

24 by 24 . . . area = 576

23 by 25 . . . area = 575

22 by 26 . . . area = 572

21 by 27 . . . area = 567

20 by 28 . . . area = 560

.

18 by 30 . . . area = 540

16 by 32 . . . area = 512

14 by 34 . . . area = 476

12 by 36 . . . area = 432

10 by 38 . . . area = 380

.

5 by 43 . . . . area = 215

4 by 44 . . . . area = 176

3 by 45 . . . . area = 135

2 by 46 . . . . area = 92

1 by 47 . . . . area = 47

1/2 by 471/2 .. area = 233/4