Q87 of 107 Page 104

The perimeter of a rectangle is 40m. The length of the rectangle is 4 m less than 5 times its breadth. Find the length of the rectangle.

As per given information in the question, the perimeter of a rectangle is 40m.


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


⇒


Hence, the length of the rectangle = 5x – 4 = (5 × 4) – 4 = 20 – 4 = 16m.


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