Question

the perimeter of rectangular shape garden is 340m. it's length is 5m more than twice its breadth. find the dimensions of that garden​

Answer 1

• Length = 115 m
• Breadth = 55 m

Explanation:

• Let the Breadth of rectangular shape garden be x; and
• Length of rectangular shape garden be 2x + 5
• The perimeter of rectangular shape garden is 340m.

★ Perimeter of rectangle = 2 (Length + Breadth)

⇒ 340 = 2 [(2x + 5) + (x)]

⇒ 340 = 4x + 10 + 2x

⇒ 340 = 4x + 2x + 10

⇒ 340 = 6x + 10

⇒ 340 - 10 = 6x

⇒ 330 = 6x

⇒ x = 330/6

⇒ x = 55

• Thus, Breadth of rectangular shape garden = 55 m

★ Length of rectangular shape garden = 2x + 5

⇒ 2x + 5

⇒ 2 (55) + 5

⇒ 115

• Length of rectangular shape garden = 115 m

Therefore, length and breadth of rectangular shape garden is 115 m and 55 m respectively.

Answer 2

Breadth of rectangular shape garden = x

Length of rectangular shape garden = 2x + 5

The perimeter of rectangular shape garden is 340m.

★ Perimeter of rectangle = 2 (Length + Breadth)

⇒ 340 = 2 [(2x + 5) + (x)]

⇒ 340 = 4x + 10 + 2x

⇒ 340 = 4x + 2x + 10

⇒ 340 = 6x + 10

⇒ 340 - 10 = 6x

⇒ 330 = 6x

⇒ x = 330/6

⇒ x = 55

Breadth of rectangular shape garden = 55 m

• Length of rectangular shape garden = 2x + 5

⇒ 2x + 5

⇒ 2 (55) + 5

⇒ 115

Length of rectangular shape garden = 115 m