Answer:
= 30m
Step-by-step explanation:
to find the length of the fence, find the perimeter of the triangle.
that is b + h + hyp assuming b is the base, h is height and hyp is hypotenuse.
we have the base; height and hypotenuse are not given.
to get the height,
area(A) = 30m2
base(B) = 12m
height(H) = ?
A = 0.5 x B x H
30m2 = 0.5 x 12m x H
30m2 = 6m x L
H = 30m2 / 6m
H = 5m
to get the hypotenuse,
we have to complete the Pythagorean family the base ,12, and height, 5. is in.
formula = a2 + b2 = c2, c is the hypotenuse, a and b can be interchanged either way with base and height.
= (12 x 12) + ( 5 x 5) = c2
= 144 + 25 = c2
= 169 = c2
c2 = 169
c = 13
perimeter = b + h + hyp
= 5 +12 + 13
= 30m
