Question

In: Math

if you a square that is 3' 5" in width, length and height. How many five...

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.

Expert Solution

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

milcah answered 2 years ago

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