Question

a rectangular field is three times longer than its breadth and its perimeter is 200 m .find the length and breadth​

Answer 1

Answer:

A rectangular field is three times longer than its breadth and its perimeter is 200 m. The length is 150m and breadth​ is 50m.

Step-by-step explanation:

Given: If Breadth =x

Then as per the given condition

A rectangular field is three times longer than its breadth

Length =3x

And the perimeter of rectangle = 200 m

Find the length and breadth

Perimeter = 2(length + breadth)

2(x + 3x)=400

⇒2(4x)=400

⇒ 8x = 400

 ⇒ x = 400/8

 ⇒ x=50

Length =3x = 3(50) =150m

Breadth = x =50m

Answer 2

Answer:

The length 150 m and breadth x=50m

Step-by-step explanation:

In accordance with the information provided in the question,

Given the data in question  a rectangular field is three times longer than its breadth and its perimeter is 200 m

We have find the value of the length and breadth​

suppose that Breadth =x

As per the data

The length of a rectangular field is three times the width.

3 times the length

We know that formula is Perimeter = 2(length + breadth)

$2(x+3x)=400\\2(4x)=400\\8x=400\\x=\frac{400}{8} \\x=50$

So length 3x

$= 3\times50\\=150$

Breadth is x= $50 m$

Hence the length 150 m and breadth x=50m