Question

a pair of opposite sides of a square is extended by 4 cm to form a rectangle if the area of the rectangle is 396cm^2 find the side of a square​

Answer 1

Answer:

Correct option is

A

x

2

−12x=0

Let side of square=x cm

Therefore,

Length of rectangle=2x

Breadth of rectangle=x+6

2x(x+6)=3x

2

⇒2x

2

+12x−3x

2

=0

⇒x

2

+12x=0

⇒x

2

=12x

⇒x=12

Therefore,

Side of square=12 cm

Length of rectangle=2×12

=24 cm

Breadth of rectangle=12+6

=18 cm