If the length and breadth of a rectangal are in the ratio 3:2 and its perimeter is 20 cm ,then the area of the rectangal,(in cm2 ) is
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Answer:
The Area of the rectangle is 24 cm².
Step-by-step explanation:
Given :
Ratio of the length to breadth = 3 : 2
Perimeter of the rectangle = 20 cm
To find :
Rectangle's area
Solution :
Let the dimensions be -
- Length as 3x
- Breadth as 2x
★ Perimeter = 2(Length + Breadth)
⇒ 2(3x + 2x) = 20
⇒ 6x + 4x = 20
⇒ 10x = 20
⇒ x =
⇒ x = 2
★ Value of 3x
⇒ 3(2)
⇒ 6
Length = 6 cm
★ Value of 2x
⇒ 2(2)
⇒ 4
Breadth = 4 cm
★ Area = Length × Breadth
- Length = 6 cm
- Breadth = 4 cm
⇒ 6 × 4
⇒ 24 cm²
The Area of the rectangle is 24 cm².
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