Question

The length of a rectangle exceeds its breadth bi 12 cm. If the perimeter of the rectangle is 84 cm, find the length and breadth of the rectangle.

Please solve the above question with proper explanation.​

Answer 1

Answer:

Answer :-

Breadth of the rectangle is 10 cm

Length of the rectangle = 22cm

Step by step explanation:

To find :

Length and breadth is the rectangle.

Solution:-

Let the breadth of the rectangle be x

Let the length of the rectangle be (x + 12).

We know,

$\red{\bigstar \boxed{\bf { Perimeter = 2(L + B)}}★}$

Where,

Length = (x + 12)

Breadth = x

Perimeter = 64 cm

Therefore,

$\longrightarrow \bf 2(x + 12 + x) = 64$

ᅠᅠ

$\longrightarrow \bf 2x + 24+ 2x = 64$

ᅠᅠ

$\longrightarrow \bf 4x + 24 = 64$

ᅠᅠ

$\longrightarrow \bf 4x = 64 - 24$

ᅠᅠ

$\longrightarrow \bf 4x = 40$

ᅠᅠ

$\: \: \longrightarrow \bf x = \cancel{ \dfrac{40}{4} }$

$\bold{\longrightarrow \red{\bf x = 10}}$

ᅠᅠ

Therefore, Breadth of the rectangle is 10 cmand length of the rectangle = 22 cm