A carpet company uses the template to design a rug. Write an expression for the area of the shaded region as it relates to the variable length x answer.

Question

There is a shaded square with a white square in its center. On the outside of the shaded part of the square on one side there is 3x+4, on another side there is x+5. On the shaded part of the square there are four 2's on each side.

Answer 1

(3x + 4)(x + 5) - 2²

3x² + 4x + 15x + 20 - 4

3x² + 19x + 16