Find the area of this figure. show work!

The answer to your question is: area = 105.12 ft2

Step-by-step explanation:

Here we have to figures, a rectangle and a semicircle, then we calcule the areas of each figure and after we add them.

Area of a rectangle

area = base x height

area = 10 ft x 8 ft

area = 80 ft2

Area of a circle

area = πr2 = 3.14 x (4 ft)2

area = 3.14 x 16 = 50.24 and we divided by 2 because is a semicircle

area = 50.24/2 = 25.12 ft2

Total area = 80 + 25.12 = 105.12 ft2

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.