There are of square of length (2x+2) on width is xcm find x ?

Question

Word problem leading to quadratic

Comments

Can you please rewrite the question by checking once again?

Looks like something is missing.

Answer 1

I can only make sense of this question if the area of the square is x². The side of the square is 2x+2.

The area is (2x+2)²=x², so (2x+2)²-x²=0, (2x+2-x)(2x+2+x)=(x+2)(3x+2)=0.

So x=-2 or -⅔. The side length is therefore 2x+2=-2 or -4/3+2=⅔. The side length can’t be negative so x=-⅔, making the side length ⅔.