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.

Answer 1

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.