In: Math
if you a square that is 3' 5" in width, length and height. How many five point stars (2" in size) filled with air will fit into the square? Please show all work.
Ans :
Here ABCD is a given square with side length = 3'5"
Therefore area of the given square is
now (as 1' = 12")
Therefore area of square is
Following is the given five point star
Area of this star can be found as following
Area = 5*(Area of triangle ABC) + 5*(Area of triangle COD)
Area of triangle ABC
Area of triangle COD
Therefore area of star
= 5 * (1.175) + 5 * (0.5257)
= 8.5 (inch^2)
There fore number of stars that can be fit into square are
Hence total of 197 stars can be fit into the given triangle