What length of fence is needed to surround the garden in the following geometry question?A garden is in the shape of a right triangle. The base of...

We know that theb area of the right angle triangle
is:

A = (1/2) * base *
height

==> A = (1/2) * b *
h

Given:

 the base (b) = 12
m

the area (A)= 30 m

Then we
can calculate the height:

30 = (1/2) * 12 *
h

30 = 6 h

==> h = 30/6
= 5 m

Then the height of the triangle
is:

h = 5 m

Now we have the
measures of both sides of the triangle, then we can obtain the third side (s) using the
foluma:

Hypetenuse^2 = base^2 +
height^2

==> s^2 = 12^2 +
5^2

==> s = sqrt(144+ 25) = sqrt(169) = 13
m

==> S = 13m

Now we
have all 3 sides .

The fence needed should equal the
perimeter of the triangle:

P = 12+ 13 + 5= 30
m

Then length of the fence needed is 30
m