Question

the length of rectangle 4cm more its breadth perimeter is 84 find length and breadth
​

Answer 1

Answer:

80

Step-by-step explanation:

90

Answer 2

Given :

Length of rectangle is 4cm more than its breadth ; Perimeter = 84cm

.

To find :

Length and breadth

.

Solution :

Let breadth be 'x' and length be 'x+4'

Perimeter = 2 ( length + breadth )

=> 84 = 2 ( x + (x+4) )

=> 84 = 2 ( 2x + 4 )

=> 84 = 4x + 8

=> 84 - 8 = 4x

=> 76 = 4x

=> $\dfrac{76}{4}$ = x

=> ${\boxed{x = 19}}$

.

• Breadth = x cm

${\boxed{\therefore {Breadth = 19\ cm }}}$

• Length = x + 4 cm => 19 + 4

${\boxed{\therefore{Length = 23\ cm }}}$

.

Verification :

Perimeter = 2 ( length + breadth )

84 = 2 ( 23 + 19 )

=> 84 = 2 ( 42 )

=> 84 = 84

LHS = RHS

Hence Verified !