Compound figures

Break it up into pieces

1) A 5 x 5  square on the left  = 30

2) A 4 x 8  rectangle at the bottom =  32

3) A (8+1) x 5 rectangle in the middle  = 9 x 5 =  45

4) A triangle at top with a base of   (8 + 5) - (6 + 4)  =  3   and a height of 3 =  (3 * 3) / 2  = 4.5

Now....just add the areas together

For rectangle 1st, length(1) = 13 yard, base(1) = 5 yd

For rectangle 2nd, length(2) = 8 yard, base(2) = 4 yd

Area = area of triangle + area of A rectangle = area of 1st rectangle + area of 2nd rectangle

        = 1/2 * base * height + length(1) * base(1) + length(2) * base(2)

        = 1/2 * 3 * 3 + 5 * 13 + 8 * 4 yd²

        = 9/2 + 65 + 32 yd²

        = 4.5 + 65 + 32 yd²

        = 101.5 yd²