Answer:
Let's find the area of the rectangle below since we are given lengths.
Formula for area of a rectangle:
a = w * l, where "w" is the width and "l" is the length
The width is 24 and the length is 8 yards, so let's multiply those;
a = 24 x 8
a = 192 square yards
Now that we have found one of the areas, let's find the triangle above.
Though we are not given the base of the triangle, we can find the triangle's base by adding the other two side lengths beside it and subtract it by the total width.
The other two side lengths are 6 and 6, the total width is 24 as shown under the rectangle.
So we add the two side lengths (6 + 6) = 12, and subtract it from it's total, 24, (24 - 12) = 12
Now that we have found the base of the triangle, we must find the height of the triangle (the dotted line that runs vertically through the triangle).
The height of the rectangle is 8, the total of the dotted line that runs through both the triangle and the rectangle is 16.
Now we just subtract 8 from the total of the dotted line to get our height of the triangle, (16 - 8) = 8, finally we can find the area of the triangle.
Formula for area of triangle;
A = BH x 1/2, where "b" is the base and "h" is the height.
Replace b and h:
A = 12(8) x 1/2
A = 96 x 1/2
A = 96/2
A = 48 square yards
Since we found the area of the two shapes, we must add them to get the total area.
Area of rectangle: 192
Area of triangle: 48
We add;
192 + 48 = 240 square yards, is your answer.