Solve.
-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.
A) 6 cm
B) 16 cm
C) 4 cm
D) 2 cm

Question

Quizplus · Accepted Answer

Let the side of the square and the length of the rectangle be x cm. The width of the rectangle is x + 4 cm. The area of the square is x^2, and the area of the rectangle is x(x + 4). The sum of the areas is x^2 + x(x + 4) = 48. Simplifying gives 2x^2 + 4x = 48. Dividing by 2 gives x^2 + 2x = 24. Solving the quadratic equation x^2 + 2x - 24 = 0, we find x = 4 cm.

Solve. -The Side of a Square Equals the Length of a a Rectangle