Question

A local school needs to paint the floor of its theater room, where the length of the floor, x, is at least 12 feet. The width of the floor is 4 feet less than the length. It will have a stage and a closet, and the remaining area of the floor will be painted. The dimensions are shown in the diagram:

Let A represent the painted area, in square feet, of the floor. Choose the correct equation to solve for area (A).


A = x(x − 4) − 0.5(8)(x − 4) − 4(8)

A = x(x − 4) − (8)(x − 4) − 4(8)

A = x(x − 4) + (8)(x − 4) + 4(8)

A = x(x − 4) + 0.5(8)(x − 4) + 4(8)

Answer 1

Explanation:

here .................

Answer 2

• A. A = x(x - 4) - 0.5(8)(x - 4) - 4(8)

Explanation:

Total area:

• A(t) = x(x - 4)

Area of the stage:

• A(s) = 0.5(8)(x - 4)

Area of the closet:

• A(c) = 4(8)

Area to be painted:

• A = A(t) - A(s) - A(c)
• A = x(x - 4) - 0.5(8)(x - 4) - 4(8)

Correct choice is A