Question

A square has a side length of 6x+2. a rectangle with width 3x+1 has the same area as the square. what is the length of the rectangle?

Answer 1

Let A the area of the square, Ar the area of a rectangle, l length and w  width, s sides.

A=Ar

A= s²

Ar= lw

A= (6x+2)²

(6x+2)²= l w

(6x+2)²= l (3x+1)

2(3x+1)(6x+2)= l (3x+1)

l= 2(6x+2)= 12x+4 

so length is 12x+4