Question

the perimeter of a rectangle is 20cm.its breadth is 2m less then it's length.find it's length and breadth.​

Answer 1

Answer:

• Length and breadth of the rectangle is 6 cm and 4 cm respectively.

Step-by-step explanation:

Given that:

• The perimeter of a rectangle is 20 cm.
• Its breadth is 2 cm less then its length.

To Find:

• Length and breadth of the rectangle.

Let us assume:

• Length of the rectangle be x cm
• Breadth of the rectangle = (x - 2) cm

Formula used:

• Perimeter of rectangle = 2(Length + Breadth)

Finding the length and Breadth:

According to the question.

⟶ 20 = 2(x + x - 2)

⟶ 20 = 2x + 2x - 4

⟶ 20 = 4x - 4

⟶ 4x = 20 + 4

⟶ 4x = 24

⟶ x = 24/4

⟶ x = 6

We get that:

• Length = x = 6 cm
• Breadth = x - 2 = 6 - 2 = 4 cm

Answer 2

Given :-

Perimeter = 20 cm

Breadth = Length - 2

To Find :-

Length and breadth

Solution :-

Let length be x

And,

Breadth = x - 2

$\sf 20 = 2\bigg(x+x-2\bigg)$

$\sf \dfrac{20}{2} = x + x-2$

$\sf 10 = x+x-2$

$\sf 10 = 2x-2$

$\sf 10 + 2=2x$

$\sf 12 =2x$

$\sf \dfrac{12}{2} = x$

$\sf 6= x$

Breadth = 6 - 2 = 4 cm

Length = 6 cm