Answer:
the shaded area= area of the regular hexagon-the area of the regular pentagon+ the area of the square-the area of the equilateral triangle
Step-by-step explanation:
for the equation to be true we must first identify the shapes used.
the shapes used include
- regular hexagon
- regular pentagon
- square
- equilateral triangle
now that we know the shapes we must find out which shapes are shaded
- regular hexagon (shaded)
- regular pentagon (not shaded)
- square (shaded)
- equilateral triangle (not shaded)
now we know which shapes are shaded we can now form the equation to find the area
i will turn the shapes into varibles so its easier on my brain and yours
- area of the regular hexagon= h
- area of the regular pentagon= p
- area of the square= s
- area of the equilateral triangle= t
- shaded area= A
we can know use the info gathered earlier to create the equation
shaded area = (area of the regular hexagon - area of the regular pentagon (the hexagon is shaded while the pentagon is not therefore you would subtract the area of the hexagon by the area of the pentagon))+(area of the square- area of the triangle( same reason as the hexagon and pentagon the triangle is not shaded therefore creating a gap in the square)
or in other words with the variables
A=( h-p )+( s-t )
if your still not convinced see the attached image
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