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 βˆ’ 4) + 0.5(6)(x βˆ’ 4) + 2(7)
A = x(x βˆ’ 4) βˆ’ 0.5(6)(x βˆ’ 4) βˆ’ 2(7)
A = x(x βˆ’ 4) βˆ’ (6)(x βˆ’ 4) βˆ’ 2(7)
A = x(x βˆ’ 4) + (6)(x βˆ’ 4) + 2(7)

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 l class=

Respuesta :

Answer:A=x(x-4)-0.5(6)(x-4)-2(7)

Step-by-step explanation:

A=x(x-4)-(0.5(6)(x-4) + 2(7))

A=x(x-4)-0.5(6)(x-4)-2(7)

The printed area of the theater room is x(x βˆ’ 4) βˆ’ 0.5(6)(x βˆ’ 4) βˆ’ 2(7). Then the correct option B.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A local school needs to paint the floor of its theater room, where the length of the floor, x, is at least 11 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.

Let, the length be x ft

Then the width will be (x - 4) ft

Then the stage closest will be

6(x-4)/2 = 3(x-4)

The rectangle is 7(2)

The painted area will be given as

x(x-4) - 4(x-4)

Then we have

Area = x(x-4) - 0.5(6)(x-4) - 2(7)

Thus, The printed area of the theater room is x(x βˆ’ 4) βˆ’ 0.5(6)(x βˆ’ 4) βˆ’ 2(7). Then the correct option B.

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