Question

Answer for number 12

Answer 1

12 a. 4605 feet 12 b. 1,459,063 square feet

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=(1)/(2)bh`.

Filling in our values gives us

`A=(1)/(2)(1490)(541)` and

A = 403,045 square feet.

Now for the trapezoid. The formula for a trapezoid is

`A=(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=(1)/(2)(921+1490)(876)`

Work inside the parenthesis first:

`A=(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