Algebra
posted by Scott on .
The side of a square equals the length of a rectangle. The width of the rectangle is 4 meters longer than its length. The sum of the areas of the square and the rectangle is 48 square centimeters. Find the side of the square

square  x by x
rectangle  x by x+4
x^2 + x(x+4) = 48
2x^2 + 4x  48 = 0
x^2 + 2x  24 = 0
(x+6)(x4) = 0
x = 6 or x = 4, but a side cannot be negative
so the square is 4 by 4 
each unit square of the rectangle below represents 1 square inch name the rectangle that show perimeter and name the permeter