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The perimeter of a rectangle is 120 meters and its length is 15meters more than double the width. Find the length and breadth ​

Answer :

Final answer:

The width of the rectangle is 15 meters and the length is 45 meters.

Explanation:

To find the length and breadth of the rectangle, we can use the given information. Let's assume the width of the rectangle is x. The length of the rectangle is then expressed as 2x + 15. The perimeter of a rectangle is the sum of all its sides, so we can set up the equation 2(x + 2x + 15) = 120.

Simplifying the equation, we get 6x + 30 = 120. Subtracting 30 from both sides gives us 6x = 90. Dividing both sides by 6, we find that x = 15. Therefore, the width of the rectangle is 15 meters.

Substituting the value of x back into the expression for the length, we have 2(15) + 15 = 30 + 15 = 45. Hence, the length of the rectangle is 45 meters.

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