Take into account that the given figure can be considered as formed by a rectangle and one half of a circle.
Use the following formulas for the areas:
rectangle:
A1 = w*l
w: width = 4 ft
l: length = 8 ft
semircle:
A2 = 1/2 * π*r^2
r: radius = diamterer/2 = 2 ft/2 = 1 ft (consdiered by the dimensions of the up side of the rectangle)
replace the previous values of the parameters into the formulas for the areas:
A1 = (4 ft)(8 ft) = 32 ft^2
A2 = 1/2*(3.14)(1 ft)^2 = 1.57 ft^2
the area of the total figure is:
A = A1 + A2
A = 32 ft^2 + 1.57 ft^2
A = 33.57 ft^2
Hence, the area of the figure is 33.57 ft^2