Part 1) the polygon is a triangle and a rectangle
area=area triangle+area rectangle
step 1
find the area of the triangle
area triangle=b*h/2
b is the base-------> b=8-2-1-----> b=5 cm
h is the height-----> h=5 cm
area triangle=5*5/2----> 12.5 cm²
step 2
find the area of the rectangle
area rectangle=b*h
b is the base---------> b= 8 cm
h is the height-------> h=5 cm
area of rectangle=8*5-----> 40 cm²
step 3
find the area total
area total=12.5+40-----> 52.5 cm²
the answer part 1) is
52.5 cm²
Part 2) the polygon is a 3/4 of a circle and a square
area total=area of a 3/4 circle+area square
step 1
find the area of a 3/4 of circle
area of a 3/4 of circle=(3/4)*pi*r²
r=2 ft
area of a 3/4 of circle=(3/4)*pi*2²-----> 9.42 ft²
step 2
find the area of a square
area square=b²
b=2 ft
area square=2²-----> 4 ft²
step 3
find the area total
area total=9.42+4------> 13.42 ft²
the answer Part 2) is
13.42 ft²
