Question

The length of a rectangular field is thrice its breadth. Its peimeter is 400m. Find its
length and breadth.​

Answer 1

Answer:

$\large{\underline{\boxed{\sf Length = 150 \: m}}}$

$\large{\underline{\boxed{\sf Breadth = 50 \: m}}}$

Step-by-step explanation:

Let the breadth of the rectangular field be x, then it's Length = 3x.

It is given that-

Perimeter = 400 m

And, we know that ;

Perimeter of rectangle = 2(l + b)

⇒ 2(l + b) = 400

⇒ 2 (3x + x) = 400

⇒ 2(4x) = 400

⇒ 8x = 400

⇒ x = $\dfrac{400}{8}$

⇒ x = 50

Thus, the dimensions of rectangular field are:

• Length = 3 * 50 = 150 m
• Breadth = x = 50 m

Hence, the length is 150m and breadth is 50 m.

Answer 2

Answer:

The length of the rectangle is 150m and the breadth of the rectangle is 50m.

Step-by-step explanation:

Let the breadth of the rectangle be x.

Then, the length of the rectangle will be 3x. [length is thrice the breadth]

Now, its given that perimeter of the rectangle is 400m.

Formula for the perimeter of a rectangle= 2(l+b)

Putting values in the equation,

2(x+3x)=400

2(4x)=400

8x=400

x=50

We know, x= breadth,

So, the breadth of the rectangle is 50m,

And the length of the rectangle is (3×50)=150m.