Question

the perimeter of a rectangle is 260 CM if its length is 30 metre more than its breadth find its length​

Answer 1

Given

Perimeter of a Rectangle is 260cm

length is 30 m more than its breadth

To Find

Length of the Rectangle

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

Let us assume that the breadth be 'x' cm

According to the question:-

Length is 30 m more than its breadth

=>30+x

Now length is 30+x and breadth is x

Perimeter of Rectangle=2(length+breadth)

Perimeter of Rectangle=2(30+x+x)

=>260=2(30+2x)

=>260=60+4x

=>260-60=4x

=>200=4x

x=200÷4

x=50

Breadth is 50 cm

length is 30+x =30+50=80cm

Check:

Perimeter of Rectangle=2(50+80)

Perimeter of Rectangle=2(130)

Perimeter of Rectangle=260cm

Extra information=>

PERIMETER

Perimeter is the total distance occupy by a solid 2D figure around its edge.

Example in Real life : To fence a field with wire we need to find the cost of fencing in such case perimeter will used because we have to only fence border of the field.

Answer 2

Given :-

• Shape = Rectangle
• Perimeter of Rectangle = 260cm
• Its length is 30 metre more than its breadth.

To Find :-

• Length of the Rectangle

Solution :-

In the Question it was given that the Length of the Rectangle is 30m more than its breadth, Therefore

⟶ Let Breadth of Rectangle be x

⟶ Let Length of Rectangle be x + 30

According to the Question :

⟹ Perimeter = 2 ( Length + Breadth )

⟹ 260 = 2 ( x + 30 + x )

⟹ 260 ÷ 2 = x + 30 + x

⟹ 130 = x + 30 + x

⟹ 130 = 2x + 30

⟹ 130 - 30 = 2x

⟹ 100 = 2x

⟹ 100 ÷ 2 = x

⟹ 50 = x

Therefore :-

• Length of Rectangle = x + 30 = 50 + 30 = 80cm
• Breadth of Rectangle = x = 50cm

________________

★ Additional Info :

Formulas Related to Rectangle :

• Perimeter of Rectangle = 2( l + b)
• Area = Length × Breadth
• Length = Area / Breadth
• Breadth = Area / Length
• Diagonal = √(l)² + (b)²

________________