Answer:
12 a. 4605 feet 12 b. 1,459,063 square feet
Step-by-step explanation:
For the perimeter, we simply add the lengths of each of the 5 sides together (or multiply 5 times one side length).
P = 5(921)
P = 4605 feet
For the area, we will use composition...add the area of the triangle to the area of the trapezoid.
For the area of the triangle, the formula is
[tex]A=\frac{1}{2}bh[/tex].
Filling in our values gives us
[tex]A=\frac{1}{2}(1490)(541)[/tex] and
A = 403,045 square feet.
Now for the trapezoid. The formula for a trapezoid is
[tex]A=\frac{1}{2}(b_{1}+b_{2})(h)[/tex]
where the b's represent the bases and the h represents the height. Filling in our values gives us
[tex]A=\frac{1}{2}(921+1490)(876)[/tex]
Work inside the parenthesis first:
[tex]A=\frac{1}{2}(2411)(876)[/tex] and
A = 1,056,018
Now we add those together to get that area of the Pentagon is 1,459,063 square feet
