A magician’s stage has a rectangle trapdoor which is (x+ 1/2) by 2x ft. The outside rectangle length is (x+ 16) ft.
Part A. The total area (in square feet) of the stage can be represented by x2 + 27x + 176. Write an expression for the width of the stage.
Part B: Write an expression for the perimeter of the stage.
Part C: The area of the trapdoor is 10 square feet. Find the value of x.
Part D: The magician wishes to have the area of the stage be at least 20 times the area of the trapdoor. Does this stage satisfy his requirement? Explain.