You can
put this solution on YOUR website!Let call the first square side a and the second square side b.
The perimeters are,

and the areas are,

.
.
.
"perimeter of one square exceeds that of another by 16"

1.

its area is 44 less than 4 times the area of the other

2.

Use eq. 1 to come up with an expression for a in terms of b.
1.

Now substitute that expression for a in eq. 2 and solve for b.
2.

We'll only solve for the positive b solution since a negative length doesn't make sense.

From eq. 1,

.
.
.