Answer:
$1272
Explanation:
You want the total cost of crown molding for the perimeter of a hall measuring (6x +9) feet by (8x +7) feet, for a total length of 30x feet, at $2.65 per foot.
Perimeter
The perimeter of the hall is given by ...
P = 2(L +W)
For the given values, this is ...
30x = 2((6x +9) +(8x +7))
15x = 14x +16
x = 16
Cost
Then the cost of the molding is ...
(30x feet)·($2.65/foot) = (30)(16)($2.65) = $1272
The total cost of molding for the hall is $1272.
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Additional comment
In the attached, we found the value of 2(L+W)-P, which will be zero. The expression that resulted was -2x +32. Solving -2x +32 = 0 gives x = 16, as above.
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