BOOKBINDING

Two square sheets of cardboard used for making book covers differ in area by 44 inches. An edge of the larger square is 2 inches greater than an edge of the smaller square. Find the length of an edge of the smaller square.

My answer:

Let x be the length of an edge of a smaller square.

(X+2) + x=44
X+2+x=44
2x+2=44
2x=44-2
2x=42
x=21

Is this right

1 answer

(x + 2)^2 - x^2 = 44

x^2 + 4x + 4 - x^2 = 44

4x + 4 = 44