Question

The fence of 920 of a rectangular plot length was10morethan5times it's breadth then what is length?

Answer 1

Required Answer :

Length of the rectangular plot = 385 metre

Given :

• Fence of a rectangular plot = 920 units
• Length of the rectangular plot is 10 more than 5 times its breadth

To find :

• Length of the rectanglular plot

Solution :

Fencing is done to the boundaries and perimeter is the sum of all the sides/boundaries. So, the fence of a rectangular plot = Perimeter of the rectangular plot.

• Perimeter of the rectangular plot = 920 units

Let,

• Breadth of the rectanglular plot = x metre
• Length of the rectanglular plot = 5x + 10 metre

Formula of perimeter of rectangle :

• Perimeter of rectangle = 2(l + b)

where,

• l denotes the length of the rectangle
• b denotes the breadth of the rectangle

Substituting the given values :

⇒ 920 = 2(x + 5x + 10)

⇒ 920 = 2(6x + 10)

⇒ 920/2 = 6x + 10

⇒ 460 = 6x + 10

⇒ 460 - 10 = 6x

⇒ 450 = 6x

⇒ 450/6 = x

⇒ 75 = x

Substituting the value of x :

LENGTH :

⇒ Length of the rectangular plot = 5x + 10

⇒ Length of the rectangular plot = 5(75) + 10

⇒ Length of the rectangular plot = 375 + 10

⇒ Length of the rectangular plot = 385 metre