Question

Answer for number 12

Answer 1

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

$A=\frac{1}{2}bh$.

Filling in our values gives us

$A=\frac{1}{2}(1490)(541)$ and

A = 403,045 square feet.

Now for the trapezoid.  The formula for a trapezoid is

$A=\frac{1}{2}(b_{1}+b_{2})(h)$

where the b's represent the bases and the h represents the height.  Filling in our values gives us

$A=\frac{1}{2}(921+1490)(876)$

Work inside the parenthesis first:

$A=\frac{1}{2}(2411)(876)$ and

A = 1,056,018

Now we add those together to get that area of the Pentagon is 1,459,063 square feet