The length of a rectangle is thrice as long as the side of a square. The side of the square is 4 cm more than the width of the rectangle. Their areas being equal, find their dimensions.

Answer

`(l=18" cm", b=2" cm")," side"=6" cm "`

Explanation

Let each side of the square be x cm.
Then, length of the rectangle `=3x cm.`
Width of the rectangle `=(x-4)cm.`
`:." "3x(x-4)=x^(2)implies2x^(2)-12x=0implies2x (x-6)=0impliesx=6.`