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
\((13)^{2}\) = \((10)^{2}\) + \((b)^{2}\) -2(10)(b)cos 50
169 = 100 + (b)^{2} -20b(0.642)
\(b^{2}\) -12.84b + 100 -169 = 0
\(b^{2}\) -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
#SPJ2
