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Question
The perimeter of a rectangle is 40 m. The length of the rectangle is 4 m less than 5 times its breadth. Find the length of the rectangle.
Solution
As per the given information in the question, the perimeter of a rectangle is 40 m .....[∵ Perimeter of rectangle = 2 (length + breadth)]
Let x be the breadth of the rectangle
Then, length of the rectangle = 5x – 4
According to the question,
2x + 2(5x – 4) = 40
⇒ 2x + 10x – 8 = 40
⇒ 12x – 48
⇒ x = 4
Hence, length of the rectangle = 5x – 4 = (5 × 4) = 20 – 4 = 16 m.
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