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What is the formula for finding length and breadth when given area?
Wiki User
∙ 6y ago
As an area can be any shape, there is no formula for finding length and breadth when given area.
But if you have a rectangle:
Area = length × breadth
Which can be rearranged to give:
Breadth = Area ÷ Length
or
Length = Area ÷ Breadth
There is no one solution for this - pick any breadth (or length) and you can work out the length (or breadth) of the rectangle so that it has the given area.
For example, If a rectangle has an area of 12 m² it could have dimensions:
- breadth = 1 m → length = 12 m² ÷ 1 m = 12 m
- breadth = 2 m → length = 12 m² ÷ 2 m = 6 m
- breadth = 3 m → length = 12 m² ÷ 3 m = 4 m
All those rectangles: 1m by 12 m, 2 m by 6 m, 3 m by 4m have an area of 12 m²
The lengths need not be whole numbers, giving further rectangles, for example:
- breadth = 0.5 m → length = 12 m² ÷ 0.5 m = 24 m
- breadth = 1.5 m → length = 12 m² ÷ 1.5 m = 8 m
- breadth = 2.5 m → length = 4.8 m
Wiki User
∙ 6y ago
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