Question

the difference between the length and the breadth of a rectangular field is 15m. if the perimeter of the field is 190m find the length and breadth ​

Answer 1

Answer ::

The length and breadth of rectangle are 50m and 45m.

Step-by-step explanation ::

To Find :-

• The length of rectangle
• The breadth of rectangle

Solution :-

Given that,

• The difference between the length and the breadth of a rectangular field is 15m.
• The perimeter of the field is 190m.

Let us assume the length of rectangle as x metres and the breadth of rectangle as x - 15 metres,

ACCORDING THE QUESTION,

As we know that,

Perimeter of rectangle = 2 ( l + b )

Where,

• l = Length
• b = Breadth

Therefore, the length and breadth of rectangle is,

➞ 2 ( l + b ) = Perimeter of rectangle

➞ 2 ( x + x - 5 ) = 190

➞ 2 ( 2x - 5 ) = 190

➞ 2x - 5 = 190/2

➞ 2x - 5 = 95

➞ 2x = 95 + 5

➞ 2x = 100

➞ x = 100/2

➞ x = 50

The value of x is 50.

Now, the measure of length and breadth is,

• Length [ We assumed length as x ]

➞ x

➞ 50m

• Breadth [We assumed breadth as x - 15 ]

➞ x - 5

➞ 50 - 5

➞ 45m

The length and breadth of rectangle are 50m and 45m.