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.

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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 1 year ago

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