The amount of fencing needed to surround the perimeter of the flower bed is 40 feet.
What is perimeter of a shape?
Perimeter is the outside boundary of a shape.
it is the sum of all the lengths of a given shape.
Analysis:
perimeter = 13 + 10 + b
using cosine rule to find b
[tex](13)^{2}[/tex] = [tex](10)^{2}[/tex] + [tex](b)^{2}[/tex] -2(10)(b)cos 50
169 = 100 + (b)^{2} -20b(0.642)
[tex]b^{2}[/tex] -12.84b + 100 -169 = 0
[tex]b^{2}[/tex] -12.84b - 69 = 0
using quadratic general formula,
b = 16.91ft
perimeter = 13 + 10 + 16.91 = 39.91 feet = 40 feet
In conclusion, the amount of fencing needed to surround the perimeter of the flower bed is 40 feet.
Learn more about perimeter of triangles : brainly.com/question/24382052
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