Question

The perimeter of a rectangle is 28 cm and its length is 2 cm more than double of its breadth x cm.
Find the length of the rectangle.
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Answer 1

Step-by-step explanation:

Perimeter Of Rectangle= 28 Cm

2(l+b)= 28 Cm

l+b= 14Cm

=> here given

l=(2x+2) Cm

b= x cm

So,

2x+2+x=14

3x= 12

x=4 cm

Length Of Rectangle = 2x+2 =8+2= 10 Cm

Answer 2

Given :

• The perimeter of a rectangle is 28 cm.
• Length of rectangle is 2 cm more than double of its breadth.

To Find :

• Length of the rectangle.

Solution :

Let the breadth of the rectangle be x cm.

$\bold{\underline{\underline{\sf{As\:per\:the\:question:}}}}$

Length = 2x + 2 cm

We have Perimeter = 28 cm.

Formula :

$\bold{\large{\boxed{\red{\tt{Perimeter\:=\:2\:(l\:+\:b)}}}}}$

Block in the data,

➟ $\mathtt{28\:=\:2\:(2x\:+\:2\:+\:x)}$

➟ $\mathtt{28\:=\:2\:(\:3x\:+\:2)}$

➟ $\mathtt{28\:=\:6x\:+\:4}$

➟ $\mathtt{28\:-\:4\:=\:6x}$

➟ $\mathtt{24\:=\:6x}$

➟ $\mathtt{\dfrac{24}{6}\:=\:x}$

➟ $\mathtt{4\:=\:x}$

$\bold{\large{\therefore{\sf{\underline{Breadth\:=\:x\:=\:4\:cm}}}}}$

$\bold{\large{\therefore{\sf{\underline{Length\:=\:2x\:+\:2\:=\:2\:\times\:4\:+\:2\:=\:8\:+\:2\:=\:10cm}}}}}$