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The area of a rectangular garden is 289 square feet. The garden is to be enclosed by a stone wall costing $22 per linear foot. The interior wall is to be constructed with brick costing $9 per linear foot. Express the cost C, to enclose the garden and add the interior wall as a function of x.

The area of a rectangular garden is 289 square feet The garden is to be enclosed by a stone wall costing 22 per linear foot The interior wall is to be construct class=

Respuesta :

the area of the rectangular garden is 289 square ft

so

[tex]x\times y=289[/tex]

so the value of y is 289/x

the outer perimeter of the garden is 2(x+y)

now perimeter is 2(x+289/x)

it is given that the outer wall cost 22 $ per linear foot

so the total cost is

[tex]\begin{gathered} 22\times2(x+\frac{289}{x}) \\ 22\times(2x+\frac{578}{x}) \end{gathered}[/tex]

it is given that the cost of an interior wall is 9 $

and the length of the interior wall is x

the total cost of the interior wall is 9x

so the total cost of the wall is 9x +22 (2x + 578/x).

and the correct answer is 9x +22 (2x + 578/x). option B.

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