This shape is a trapezoid with a semi-circle attached to the side.

LINE AB = 8m
LINE AD = 8m This is the part of the semi-circle.
LINE BC = 10m This is the diagonal side of the trapezoid.
What is the area of the shape?
What is the perimeter?

To find the area of the shape, we need to break it down into two parts: the trapezoid and the semi-circle.

1. Trapezoid:
The formula to find the area of a trapezoid is given by:
Area = (1/2) * (sum of parallel sides) * (distance between them)

In this case, the sum of the parallel sides is AB + CD = 8m + 10m = 18m, and the distance between them is AD. However, we only have one side of the trapezoid given (BC = 10m), so we need to use some geometry to find the height of the trapezoid.

2. Semi-circle:
The formula to find the area of a semi-circle is given by:
Area = (1/2) * π * r^2

In this case, we know that line AD is the diameter of the semi-circle, so the radius (r) is half of AD, which is 8m/2 = 4m.

Now, let's calculate the area of the shape.

1. Trapezoid:
To find the height of the trapezoid, we can use the Pythagorean theorem on triangle ABC:
AC^2 = AB^2 + BC^2
AC^2 = 8m^2 + 10m^2
AC^2 = 64m^2 + 100m^2
AC^2 = 164m^2
AC = √164 ≈ 12.806m

Now we can calculate the area of the trapezoid:
Area of Trapezoid = (1/2)(AB + CD)(AC)
Area of Trapezoid = (1/2)(8m + 10m)(12.806m)
Area of Trapezoid ≈ 109.005m^2

2. Semi-circle:
Area of Semi-circle = (1/2) * π * r^2
Area of Semi-circle = (1/2) * π * (4m)^2
Area of Semi-circle = (1/2) * 16π
Area of Semi-circle = 8π ≈ 25.133m^2

Finally, we can find the area of the shape by adding the area of the trapezoid and the semi-circle:
Total Area = Area of Trapezoid + Area of Semi-circle
Total Area = 109.005m^2 + 25.133m^2
Total Area ≈ 134.138m^2

To find the perimeter, we need to add up the lengths of all the sides.

Perimeter = AB + BC + CD + DA + circumference of the semi-circle

Perimeter = 8m + 10m + 8m + 8π

Perimeter ≈ 26 + 8π meters