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Perimeter = (2 lengths) + (2 widths)

1/2 of the perimeter = (length) + (width)

Area = (length) x (width)

So if you're given the area and the perimeter:

-- Look for factor-pairs that multiply to give the area.

-- The right pair of factors is the pair that add to give 1/2 of the perimeter.

Example:

Area = 24

Perimeter = 22

Factor pairs that make 24:

1 x 24

2 x 12

3 x 8

4 x 6

Which pair is it ?

Perimeter = 22

1/2 the perimeter = 11.

Look at the sums:

1 + 24 = 25

2 + 12 = 14

3 + 8 = 11 <===

4 + 6 = 10

The rectangle is 3 by 8 .

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Q: How do you calculate the length and breadth of a rectangle given the area and the perimeter?
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