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Lynna
20 days ago
11

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:
rectangle with length of x ft and width of x minus 4 ft, right triangle inside labeled stage with height of x minus 4 ft and base of 8 ft, rectangle inside labeled closet with length of 8 ft and width of 4 ft, the rest of the rectangle is labeled floor

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

A.)A = x(x − 4) − 0.5(8)(x − 4) − 4(8)
B.)A = x(x − 4) − (8)(x − 4) − 4(8)
C.)A = x(x − 4) + (8)(x − 4) + 4(8)
D.)A = x(x − 4) + 0.5(8)(x − 4) + 4(8)
Mathematics
2 answers:
Zina [9.1K]20 days ago
8 0

Answer: The correct formulation is option A.)A = x(x − 4) − 0.5(8)(x − 4) − 4(8)

Step-by-step explanation:

To calculate the area that needs painting in the theater room in square feet, follow these steps:

1. Calculate the area of the theater room

Length: x

Width: x-4

A (area of theater room) = x (x-4)

2. Calculate the area of the right triangle

Height: x-4

Base: 8

A (area of right triangle) = 0.5 (8) (x-4)

3. Calculate the area of the rectangle designated as a closet

Length: 8

Width: 4

A (closet) = 8 (4)

4. The painted area is calculated by subtracting the areas of the right triangle and the closet from the total area of the theater room:

A= A(theater room) - A(right triangle) - A (closet)

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

Thus, the proper equation to compute the area is option A.

Leona [9.2K]20 days ago
7 0

Response: A

Detailed breakdown: I completed the test

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1 day ago
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The formula for the sum of an arithmetic series is expressed as:
Sn=n/2(a1+an)
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Answer:

Step-by-step explanation:

Refer to the attached digram.

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