Question

The length of a rectangular field is 100 m. If its perimeter is 300 m, what
is its breadth ?
​

Answer 1

Answer:

The breadth of the rectangle is 50 m.

Step-by-step explanation:

Given:

Length of the rectangle is 100 m

Perimeter of the rectangle is 300 m

To find:

It's breadth

Solution :

Let the breadth be y.

Using the formula of rectangle's Perimeter to find the breadth of Rectangle.

★ Perimeter = 2(Length + Breadth)

• Perimeter = 300
• Length = 100
• Breadth = y

⇒ 300 = 2(100 + y)

⇒ 300 = 200 + 2y

⇒ 2y = 300 - 200

⇒ 2y = 100

⇒ y = 100/2

⇒ y = 50

Breadth = 50 m

Therefore, the breadth of the rectangle is 50 m.

Answer 2

Answer:

Given :-

• The length of a rectangular field is 100 m.
• Perimeter is 300 m.

To Find :-

• What is the breadth of a rectangular field.

Formula Used :-

$\longmapsto \sf\boxed{\bold{\pink{Perimeter\: of\: rectangle =\: 2(Length + Breadth)}}}$

Solution :-

Let, the breadth be b m

Given :

• Perimeter = 300 m
• Length = 100 m

According to the question by using the formula we get,

$\implies \sf 2(100 + b) =\: 300$

$\implies \sf 2(100) + 2(b) =\: 300$

$\implies \sf 200 + 2b =\: 300$

$\implies \sf 2b =\: 300 - 200$

$\implies \sf 2b =\: 100$

$\implies \sf b =\: \dfrac{\cancel{100}}{\cancel{2}}$

$\implies \sf\bold{\red{b =\: 50\: m}}$

$\therefore$ The breadth of a rectangular field is 50 m .

$\rule{300}{2}$

VERIFICATION :-

$\leadsto \sf 2(100 + b) =\: 300$

By putting b = 50 we get,

$\leadsto \sf 2(100 + 50) =\: 300$

$\leadsto \sf 2(150) =\: 300$

$\leadsto \sf 2 \times 150 =\: 300$

$\leadsto \sf\bold{\purple{300 =\: 300}}$

Hence, Verified .