Question

The perimeter of a badminton court is 150 meters and the length is twice the width, then the length of the court is _______ meters

Answer 1

✬ Length = 50 m ✬

Step-by-step explanation:

Given:

• Perimeter of badminton court is 150 m.
• Length of court is twice the breadth.

To Find:

• What is the length of court?

Solution: Let the breadth of badminton court be x m. Therefore,

➯ Length = 2 times of x

➯ Length = 2x

As we know that

★ Perimeter of Rectangle = 2(Length + Breadth) ★

A/q

• Perimeter is 150 m

$\implies{\rm }$ 150 = 2(2x + x)

$\implies{\rm }$ 150 = 2(3x)

$\implies{\rm }$ 150 = 6x

$\implies{\rm }$ 150/6 = x

$\implies{\rm }$ 25 = x

So, the dimensions of court

➨ Breadth = x = 25 m

➨ Length = 2x = 2(25) = 50 m

__________________

★ Verification ★

=> 150 = 2(25 + 50)

=> 150 = 2(75)

=> 150 = 150

$\large\boxed{\texttt{Verified}}$

Answer 2

Given :-

• Perimeter of court = 150 m

• Breadth of the court = x

• Length of the court = 2x

To Find :-

• Length of the court

Solution :-

★ Perimeter of the court = 2 ( L + B )

⇒ 150 = 2 ( 2x + x )

⇒ 150 = 2 × 3x

⇒ 150 = 6x

⇒ x = 150/6

⇒ x = 25

Lenght = 2x = 2 × 25 = 50 m

Lenght of the court is 50 m