To find Length or Breadth when Area of a Rectangle is given
Let’s discuss how to find length or breadth when area of a rectangle is given.
When we need to find length of a rectangle we need to divide area by breadth.
Length of a rectangle = Area ÷ breadth
ℓ = A ÷ b
Similarly, when we need to find breadth of a rectangle we need to divide area by length.
Breadth of a rectangle = Area ÷ length
b = A ÷ ℓ
Formulas:
For Example:
1. Find the length of a rectangle whose breadth is 5 cm and area is 90 sq. cm.
Solution:
Breadth (b) = 5 cm,
Area (A) = 90 sq. cm.
Length (ℓ) = Area ÷ breadth
= 90 ÷ 5
= 18
Therefore, length of rectangle = 18 cm.
2. Find the breadth of a rectangle whose length is 200 cm and area is 10 m2.
Solution:
Length (l) = 200 cm,
Area (A) = 10 m2
100 cm = 1 m.
Length (ℓ) = Area ÷ breadth
Length (ℓ) = 200/100 m = 2 m.
Breadth (b) = A ÷ ℓ
= 10 ÷ 2 m.
= 5 m.
Therefore, breadth of rectangle = 5 m.
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