Answer:

Step-by-step explanation:
If we see closely the figure consists of right angled triangle and a semi-circle, so area of the whole figure would be Area of the triangle + Area of the semi-circle so here goes,
We calculate firstly the Area of the triangle,

Now we calculate the area of the semi-circle,
Semi-circle is also called as Half of a circle, so,

then area of half a circle would be,

where r is the radius of the circle,
but we don't have the radius we have the diameter which is 8ft to find out the value of radius we divide the diameter by 2 , the formula is:

where d is the diameter and r is the radius of the circle, so,

so now we insert the value of radius which is 4ft into the area of a semi-circle,

Now the Area of the whole figure is
Area of Whole figure = Area of half a circle + Area of triangle
Area of whole figure = 25.12 + 24
Area of whole figure = 49.12 ft^2