Question

The length of a rectangular field is twice its breadth. If the perimeter of the field if
600m, find it’s area in ( m 2

Answer 1

Answer:

Step-by-step explanation:

length=2x

breadth=x

perimeter=2(l+b)

600         =2(2x+x)

600         =2(3x)

600         =6x

x              =600/6

x              =100m

length=2x=2*100=200m

breadth=x=100m

therefore area of rectangular field=l*b

                                                        =200*100

                                                        =20000m²

Answer 2

Answer :

Area of the field is 20000 m².

Given :

• Length of the rectangular field is twice its breadth.

• The perimeter of the field is 600m.

To calculate :

• Area of the rectangular field.

Calculation :

In order to calculate area , we need to find its dimensions. So, let us calculate its length and breadth first.

Let us the assume the breadth as x.

As per the provided question :

»› Length of the rectangular field is twice its breadth.

⇒ Length = 2 × Breadth

⇒ Length = 2 × x

⇒ Length = 2x

Also, as we know that :

• ${\underline {\boxed {\rm { {Perimeter}_{(Rectangle)} = 2(l + b) } }}}$

»› The perimeter of the field is 600m.

⇒ 600 = 2 ( 2x + x )

⇒ 600 = 2 × 3x

⇒ 600/2 = 3x

⇒ 300 = 3x

⇒ 300/3 = x

⇒ 100 = x

Hence, breadth of the field is 100 m (x).

Also,

⇒ Length = 2x

⇒ Length = 2(100) m

⇒ Length = 200 m

Hence, length of the field is 200 m (2x).

• ${\underline {\boxed {\rm { {Area}_{(Rectangle)} =length \times breadth } }}}$

⇒ Area = 200 m × 100 m

⇒ Area = 20000 m²

Therefore, area of the field is 20000 m².