3 shapes, a right triangle (with base BC on x-axis, 45 45 90), a square (with ba

Question

3 shapes, a right triangle (with base BC on x-axis, 45 45 90), a square (with base DE on x-axis), and a circle (with bottom point A touching x-axis) each have the same area. Arrange and join the shapes together to produce the largest centroidal distance in the X direction. Each shape must touch another shape (no spaces); have the first shape touch the y-axis for; point A, base BC, and edge DE Must all be on the x-axis for the final combined shape. Remember, you want the arrangement with the largest X(bar on top of X) for the combined shapes.
A) arrange the 3 shapes
B) calculate X(bar on top of X) for the combined shape you selected.

Explanation / Answer

Assuming all the shapes have same area A
max centroid is for arrangement triangle square circle
the distance=A(dtriangle+dsquare+dcircle)/3A

=( (2A)/3+ (2A)+(A)/2+   (2A)+A+A/ )/3

=1.788A

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