Question

the length of a rectangle is 20 cm more than its breadth. if the perimeter is 100 cm . find the dimension of the rectangle

Answer 1

Heya,

Given:-
Perimeter of a rectangle = 100cm
Length of the rectangle = 20cm more than the breadth.

So,
Let's assume that:-
breadth = x
length = x+20

Therefore,

Perimeter = 2 ( l + b )

=> 100 = 2 (x + 20 + x)

=> 100 = 2 (2x + 20)

=> 100 = 4x + 40

=> 100 - 40 = 4x

=> 60 = 4x

=> 60/4 = x

=> 30/2 = x

=> 15 = x

So,
Breadth = 15cm
Length = x + 20
= 15 + 20
= 35cm

Hence, the dimension of the rectangle is 35cm × 15cm

Hope my answer helps you :)

Regards,
Shobana

Answer 2

Let the breadth be x
Then, length = x + 20
So,2( l + b) = perimeter
2(x + x + 20) = 100
2 ( 2x + 20) = 100
4x + 40 = 100
4x = 100 - 40
4x = 60
X = 60/4
X = 15
So,breadth = x = 15cm
And, length = x + 20 = 15 + 20 = 35
Hope it helps...!!!