Answer:
The width of the window should be and the height of the window should be
Step-by-step explanation:
we know that
The circumference of a semicircle (window) is equal to
we have that
substitute and solve for r
so
the width of the window is equal to the diameter of the semicircle
so
The width of the window should be and the height of the window should be
Similar polygons only differ by a scaling factor. In other words, two polygons are similar if one is the scaled version of the other.
In particular, this implies that the angles are preserved, and the correspondent sides are in proportion.
These two polygons are both rectangles, so the angles are preserved. We must check the sides, and we have to check if the smaller sides are in the same proportion as the bigger sides.
So, the two rectangles are similar if the following is true.
In any proportion, the product of the inner terms must be the same as the product of the outer terms:
This is clearly false, and thus the two rectangles are not similar.
