The area of the figure

55.5 ft²

Step-by-step explanation:

the square is 8 x 6 = 48 because base x length

then top triangle is 2 x 3 = 6 then ÷ by 2 is 3 because base x length ÷ 2

now bottom triangle is the same as top for formula just 3 x 3 = 9 ÷ 2 is 4.5

now add 48 + 3 + 4.5 = 55.5ft²

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).