Answer for number 12

Accepted Solution

Answer:12 a. 4605 feet 12 b. 1,459,063 square feetStep-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 feetFor 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] andA = 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] andA = 1,056,018Now we add those together to get that area of the Pentagon is 1,459,063 square feet