A rectangle has its area equal to that of a square of side 80 cm. if the breadth of the rectangle is 20 cm, find its length.
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area of Square=80*80=6400 and it is equal to area of rectangle =20*x=6400 ,x=6400/20=320
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AnswEr:
- Length of the rectangle = 320 cm.
Given:
- A rectangle has its area equal to that of a square of side 80 cm.
- The breadth of the rectangle is 20 cm.
Need To Find:
- The length of the rectangle = ?
ExPlanation:
- Side of the square = 80 cm [Given]
Formula used here:
- Area of square = Side ×Side
Putting the values according to the given formula:
Area of the square = 80 × 80
Area of the square = 6400 cm²
- Hence, the area of the square is 6400 Cm².
- The Breadth of the rectangle = 20 cm [Given]
Formula used here:
- Area of the rectangle = Area of the square = 6400 cm²
Putting the values according to the given formula:
Length of the rectangle = Area/Breadth
We get:
- Length of the rectangle = 6400/20 = 320 cm
Hence,
- Length of the rectangle is 320 cm.
Additional Information:
What is Area?
- The measure of the surface enclosed by a closed figure is called area.
- Area of rectangle = Length × Breadth
- Area of a square = Side × Side
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