Answer:
about 625 mi^2
Step-by-step explanation:
The picture of the question in the attached figure
The options are
about 625 mi2
about 525 mi2
about 725 mi2
about 825 mi2
we know that
The area of the figure can be divided into two triangles, one rectangle and three trapezoids
see the attached figure
so
step 1
Find the area of the two triangles
[tex]A=\frac{1}{2}(2)(3)+\frac{1}{2}(2)(1) =3+1=4\ units^2[/tex]
step 2
Find the area of rectangle
[tex]A=(1)(3)=3\ units^2[/tex]
step 3
Find the area of the three trapezoids
[tex]A=\frac{1}{2}(4+5)(1) +\frac{1}{2}(2+4)(1) +\frac{1}{2}(3+2)(4)[/tex]
[tex]A=4.5+3+10=17.5\ units^2[/tex]
step 4
Adds the areas
[tex]A=4+3+17.7=24.7\ units^2[/tex]
step 5
Convert to mi^2
Remember that
Each square represents 25 mi2
so
[tex]24.7(25)=617.5\ mi^2[/tex]
therefore
about 625 mi^2
