Answer:
(16x^2 + 46x + 20)/(4x + 5) ft
Explanation:
he area of the yard is given by (8x^2+13x+5) ft^2. The length of the yard is (8x+5) ft. The width of the yard is (8x^2+13x+5)/(8x+5) ft.
The fence is along the length and two widths of the yard. Therefore, the length of the fence is 2(8x+5) ft and the width of the fence is 2(8x^2+13x+5)/(8x+5) ft.
The total length of the fence is the sum of the length and width of the fence.
Therefore, the total length of the fence is 2(8x+5) + 2(8x^2+13x+5)/(8x+5) ft.
Simplifying the expression, we get:
2(8x+5) + 2(8x^2+13x+5)/(8x+5) = (16x^2 + 46x + 20)/(4x + 5) ft.
Therefore, Karla’s dad will need (16x^2 + 46x + 20)/(4x + 5) ft of fencing.