The perimeter of a rectangle is 40 m. The length of the rectangle is 4

1.	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» Let the breadth of rectangle be x m. So, five times of breadth = 5x Therefore, length of rectangle = (5x – 4) m Perimeter of rectangle = 40 m ⇒ 2(x + 5x – 4) = 40 ⇒ 2(6x – 4) = 40 ⇒ 6x – 4 = 20 ⇒ 6x = 20 + 4 = 24 ⇒ x = 24/6 = 4 Thus, length of rectangle = (5 × 4 – 4) = 16 m

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»

Let the breadth of rectangle be x m.

So, five times of breadth = 5x

Therefore, length of rectangle = (5x – 4) m

Perimeter of rectangle = 40 m

⇒ 2(x + 5x – 4) = 40

⇒ 2(6x – 4) = 40 ⇒ 6x – 4 = 20

⇒ 6x = 20 + 4 = 24

⇒ x = 24/6 = 4

Thus, length of rectangle = (5 × 4 – 4) = 16 m