the side of a rectangle are in the ratio 2:3and the perimeter is 20 cm find the side of rectangle
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Answer:
let the common ratio is x
so length is 2x cm and breadth is 3x cm
2(2x+3x)=20
2.5x=20
10x=20
x=20/10=2
so length is 2.2cm=4cm
breadth is 3.2 cm =6 cm
Answered by
20
Given:
- Ratio of the sides of a rectangle is 2 : 3.
- Perimeter of the rectangle is 20cm.
To find:
- Side of the rectangle?
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Solution:
Let the three sides of the triangle be 2x and 3x.
As we know that,
⋆ Perimeter of rectangle = 2(Length + Breadth)
Here,
- Perimeter = 20 cm
- Length = 2x
- Breadth = 3x
Putting the values,
➜2(2x+ 3x) = 20
➜2 × 5x = 20
➜10x = 20
➜x = 20/2
➜x = 2cm
Therefore,
- Length of the rectangle = 2x = 2 × 2= 4cm
- Breadth of the rectangle = 3x = 3 × 2 = 6cm
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