Question

25. 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

Answer:

Breadth=25 m.

Length=50 m.

Step-by-step explanation:

We know perimeter of a rectangle=2(L+B)sq.unit

Given,perimeter =150 m.

Let breadth be x cm.

Therefore,length=2x cm.

By the problem,2(2x+x)=150

or,2×3x=150

or,6x=150

or,x=150/6

or,x=25

Therefore,Breadth=25 m.

length=2x=2×25=50 m.

Answer 2

Let the breadth/width be '$x$'

Lenght ⇒ $2x$

Perimeter for Rectangle ⇒ $2(l+b)$

So the equation would be as follows.

$2(2x+x)=150$

Step 1: Simplify both sides of the equation.

$2(3x)=150$

$6x=150$

Step 2: Divide both sides by 6.

$\frac{6x}{6}=\frac{150}{6}$

$x=25$

So now we know that breadth/width is ⇒ $25$

Length ⇒ $2\times25=50$

Verification

Perimeter of Rectangle ⇒ $2(l+b)$

$2(50+25)$

$2(75)$

$150$

∴ The length = 50 meters and breadth = 25 meters

Additional Information ❤

What is perimeter?

The distance around a 2D shape is known as the perimeter.

What is the perimeter of the circle known as?

The perimeter of the circle is known as the circumference.

The formula to find the circumference is ⇒ $2\pi r$

What is the formula to find the perimeter of a triangle?

The formula to find the perimeter of a triangle is ⇒

$a+b+c$

What is the formula to find the perimeter of a square?

The formula to find the perimeter of a square is ⇒

$4\times a\\ \\ a=Side$

What is the formula to find the perimeter of a rectangle?

The formula to find the perimeter of a rectangle is ⇒ $2(l+b)$

What is the formula to find the perimeter of a quadrilateral?

The formula to find the perimeter of a quadrilateral is ⇒ $a+b+c+d$

What is the formula to find the perimeter of a sector?

The formula to find the perimeter of a sector is ⇒ $\sf{r(\theta + 2)}$