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Question
The length of a rectangle is two times its breadth. Its perimeter is 60 cm.
- If the breadth of rectangle is x cm, the length of the rectangle is ______.
- Perimeter in terms of x is ______.
- The equation formed is ______.
- The solution of the equation is ______.
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Solution
- If the breadth of rectangle is x cm, the length of the rectangle is 2x.
- Perimeter in terms of x is 6x.
- The equation formed is 6x = 60.
- The solution of the equation is 10.
Explanation:
a. It is given that the length of the rectangle is two times its breadth.
∴ Length = 2x cm
b. Perimeter of rectangle = 2(Length + Breadth) = 2(2x + x)
⇒ 2(3x) = 60
⇒ 6x = 60
c. As per the condition given in the question, perimeter is 60 cm
The equation formed is 4x + 2x = 60
6x = 60
d. On dividing the equation by 6, we get
`(6x)/6 = 60/6`
⇒ x = 10
Hence, the solution of the equation is 10.
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