Question

the perimeter of a rectangle is 20 metre its length is 2 metre greater than its breadth find its length and breadth​

Answer 1

Answer:

The Length is 6 m and Breadth is 4 m

Step-by-step explanation:

Given :

The Perimeter of Rectangle = 20 m

Length = 2 m greater than Breadth

To Find :

The Length and Breadth of the Rectangle

Solution :

Consider the Breadth of the Rectangle as x

Length = x + 2

$\bigstar$  Perimeter of Rectangle = 2(Length + Breadth)

⇒ 2(x + 2 + x) = 20

⇒ 2x + 4 + 2x = 20

⇒ 4x = 20 - 4

⇒ 4x = 16

⇒ x = 16/4

⇒ x = 4

$\rule{300}{1.5}$

$\bigstar$  Value of x + 2

⇒ 4 + 2

⇒ 6

∴ The Length is 6 m and Breadth is 4 m

$\rule{300}{1.5}$

⇒ 2(4 + 2 + 4) = 20

⇒ 8 + 4 + 8 + 20

⇒  12 + 8 = 20

⇒ 20 = 20

∴ The Length is 6 m and Breadth is 4 m

Answer 2

Answer:

Let Length be x + 2 and Breadth be x

==> 2(x + x + 2) = 20

==> 2x + 2x + 4 = 20

==> 4x + 4 = 20

==> 4x = 16

==> x = 4

Length =

==> 4 + 2

==> 6

.°. The Length = 6m and Breadth = 4m