Answer:
40 yd^2
Step-by-step explanation:
let's split up the composite figure into a triangle and square and add their areas together
now you might be thinking: Wait! But we don't know the height of the triangle fully.
My response to that is to examine it closer, notice how that mystery length of the triangle's height is also one of the side lengths of the square? That means that the mystery height is also 4!
so the height of the triangle is 4+4 or 8 yds
Now continue with solving the area:
the triangle's area = (b x h)/2 = (6 x 8)/2 = 24 yds^2
the square's area = s^2 = 4^2 = 16 yd^2
traingle + square = composite = 24 + 16 = 40 yd^2
