The first square with a side length of less than 8 inches is option (D) sixth square and it's side length is 6.5536 inches.
What is a word problem?
A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
Orlando is making a design for a logo.
The first square measures = 20 inches
The second square measures = [tex](20-4 ) = 16 inches[/tex]
The third square measures = [tex]( 16-(4)(0.8))=16-3.2[/tex]
⇒ [tex]12.8 inches[/tex]
The fourth square measures = [tex]12-(3.2)(0.8)=12-2.56[/tex]
⇒ [tex]10.28 inches[/tex]
The fifth square measures = [tex]10.28-(2.56)(0.8) =10.28-2.048[/tex]
⇒ [tex]8.192[/tex]
The sixth square measures = [tex]8.092-(2.048)(0.8)=8.092-1.6384[/tex]
⇒ [tex]6.5536[/tex]
Hence we can conclude that the first square with a side length of less than 8 inches is option (D) sixth square and it's side length is 6.5536 inches.
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