Question

Length of a rectangle is 4 cm more than its breadth, perimeter of the rectangle is 40 cm. Frame simultaneous linear equations in two variables representing the following information:

• A. $x-y=4,x+y=20$
• B. $x-y=4,x+y=40$
• C. $x+y=4,x+y=20$
• D. $x+y=4,x+y=40$

Answer 1

The correct option is A $x-y=4,x+y=20$

Let the length of rectangle be $x$
Let the breadth of rectangle be $y$
As per given question length of rectangle is $4$ cm more than its breadth, so the following equation can be formed
$x-y=4$ ..........(1)
We know, perimeter of a rectangle is $2$( length $+$ breadth)
Therefore, $2(x+y)=40$
$\Rightarrow 2x+2y=40$
$\Rightarrow x+y=20$ ......(2)
Therefore the given equations are $x+y=20$ and $x-y=4$.