Given:
Dimensions of rectangular garden are (-7x-3) feet by (9x+2) feet.
Cost of oak fencing = $11 per foot
To find:
The cost of total oak fencing around her garden.
Solution:
Let,
Length of the garden, l = (-7x-3) feet
Width of the garden, w = (9x+2) feet
[tex]\text{Perimeter of garden}= 2(l+w)[/tex]
[tex]\text{Perimeter of garden}= 2(-7x-3+9x+2)[/tex]
[tex]\text{Perimeter of garden}= 2(2x-1)[/tex]
[tex]\text{Perimeter of garden}= 4x-2[/tex]
So, the perimeter of garden is (4x-2) fee.
Cost of oak fencing is $11 per foot. So, total cost is
[tex]11(4x-2)=44x-22[/tex]
Therefore, the total cost of oak fencing is 44x-22x.
