Question

The perimeter of a rectangular field is 280m.If its length is 50m more than the breadth.Find the length and breadth of the rectangle.

Answer 1

Given :

• The perimeter of a rectangular field is 280 m.

• Its length is 50 m more than the breadth.

To find :

• The length and breadth of the rectangle =?

Step-by-step explanation :

Let, the breadth of the rectangular field be x.

It is Given that :

Its length is 50 m more than the breadth.

So,

Length = 50 + x.

The perimeter of a rectangular field is 280 m. [Given]

We know that,

Perimeter of the rectangle = 2 ( lenght + breadth)

Substituting the values in the above formula, we get,

➮ 280 = 2 ( 50 + x + x )

➮ 280 = 2 ( 50 + 2x)

➮ 280 = 100 + 4x

Or, 4x + 100 = 280

➮ 4x = 280 - 100

➮ 4x = 180

➮ x = 180/4

➮ x = 45

Therefore, We get the value of, x = 45.

Hence,

Breadth of the rectangular field, x = 45 m.

Length of the rectangular field, 50 + x = 50 + 45 = 95 m.

Answer 2

ANSWER:

➼The length of the rectangle : $\large\pink{95 \ m}$

➼The breadth of the rectangle :$\large\pink{45 \ m}$

GIVEN:

►The perimeter of a rectangular field is 280 m.

►Length of the rectangle is 50 m more than its breadth.

TO FIND:

The length and breadth of the rectangle

SOLUTION:

Let, the breadth of the rectangular field be p.

We are given that ,

➻Length of the rectangle is 50 m more than its breadth.

⛬ Length = 50 + b ...................a)

We are given ,

➻The perimeter of the rectangle: 280 m.

Also,

We know ,

$\rm\boxed{Perimeter \ of \ the \ rectangle = 2 ( lenght + breadth) }$

Putting given values in above equation,

we get ,

➸280 = 2 ( 50 + b + b )

➸ 280 = 2 ( 50 + 2b)

➸280 = 100 + 4b

Can be rewrite as ,

4b + 100 = 280

⛬ 4b = 280 - 100

⛬ 4b = 180

⛬ ${b = \frac{180}{4}}$

$\rm\large{\green{\boxed{\pink{b = 45}}}}$

⛬Breadth of the rectangular field, b = 45 m.

Now,

Length of the rectangular field,

➻50 + b = 50 + 45 = 95 m.

⛬ Length of the rectangular field : 95 m