[CBSE 2025] The perimeter of a rectangle is 70 cm. The length of the rectangle is 5 cm . . .

Question : The perimeter of a rectangle is 70 cm. The length of the rectangle is 5 cm more than twice its breadth. Express the given situation as a system of linear equations in two variables and hence solve it. 

CBSE 2025

Solution : 

Let the length and breath of a rectangle be x cm and y cm respectively. 

ATQ

Perimeter of rectangle = 2(l+b)
70 = 2(x+y)
70/2=x+y
35=x+y
x+y=35 — (1) 

Also, 

x=5+2y
x-2y=5 — (2) 

Solving equation (1) and (2) 

x+y=35

x-2y=5
- +     -
---------------
0 +3y=30
---------------

3y=30

y=30/3
y=10

putting in equation (1)

x+10=35
x=35-10
x=25

Hence, length = 25 cm and breadth = 10 cm