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A contractor is installing crown molding in a large banquet hall with the dimensions shown, where x is the number of feet in each section of molding. The perimeter of the hall can be covered using 30 total sections of molding, represented by 30x. If the crown molding costs $2.65 per foot, what is the total cost of the materials? Enter your answer in standard form.

(8x + 7) ft
(6x + 9) ft
(6x + 9) ft
(8x + 7) ft
total cost: $

User Bjorncs
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1 Answer

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The total cost of the materials is determined as $(2,226x + 2,544).

How to determine the total cost of the materials?

The total cost of the materials is calculated by applying the following formula as shown below:

The perimeter of the model is calculated as;

P = (8x + 7) ft + (6x + 9) ft + (6x + 9) ft + (8x + 7) ft

P = 28x + 32, ft

The total perimeter that can cover the hall is calculated as;

Total perimeter = 30 (28x + 32), ft

The total cost of the materials is calculated as;

cost of one crown model = $2.65 per foot

Total cost = 30(28x + 32) x 2.65

Total cost = 79.5(28x + 32)

Total cost = $(2,226x + 2,544)

The missing diagram of the model is in the image attached.

A contractor is installing crown molding in a large banquet hall with the dimensions-example-1
User Steve Stedman
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