Lesson: Using Quadratic Equations to Solve Word Problems

The side length of a square is cm, and the dimensions of a rectangle are cm and 2 cm. Given that the sum of their areas is 8 cm², determine the perimeter of the square.

The side length of a square is cm, and the dimensions of a rectangle are cm and 5 cm. Given that the sum of their areas is 14 cm², determine the perimeter of the square.

The side length of a square is cm, and the dimensions of a rectangle are cm and 8 cm. Given that the sum of their areas is 9 cm², determine the perimeter of the square.