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

Answer 1

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)(x-4) = 0
x = -6 or x = 4, but a side cannot be negative

so the square is 4 by 4

Answer 2

each unit square of the rectangle below represents 1 square inch name the rectangle that show perimeter and name the permeter