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:

To find Length or Breadth when Area of a Rectangle is given

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 m^2.

Solution:

Length (l) = 200 cm,

Area (A) = 10 m^2

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.

Area.

Area of a Rectangle.

Area of a Square.

To find Area of a Rectangle when Length and Breadth are of Different Units.

To find Length or Breadth when Area of a Rectangle is given.

Areas of Irregular Figures.

To find Cost of Painting or Tilling when Area and Cost per Unit is given.

To find the Number of Bricks or Tiles when Area of Path and Brick is given.

Worksheet on Area.

Worksheet on Area of a Square and Rectangle

Practice Test on Area.





5th Grade Geometry

5th Grade Math Problems

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