Question

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Question 2 Part B (5 points): Given the area of the square, find the length of each side by factoring completely. Be sure to show all work to receive full credit!
Area: 25y² – 20y + 4 sq units

Answer 1

formula : area of square = Length²

• all the sides in a square is of same measure

Length = √area of square

• given here the area: 25y² – 20y + 4

`\rightarrow \sf Length =√( 25y^2 - 20y + 4)`

`\rightarrow \sf Length =√( 25y^2 - 10y -10y+ 4)`

`\rightarrow \sf Length =√( 5y(5y - 2) -2(5y-2))`

`\rightarrow \sf Length =√( (5y-2)(5y-2))`

`\rightarrow \sf Length =√( (5y-2)^2)`

`\rightarrow \sf Length =5y-2`