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The rectangle below has an area of x^2-16 square meters and a width of x+4 meters.
What expression represents the length of the rectangle?

Respuesta :

irspow
x^2-16 is a difference of squares of the form:

(a^2-b^2) which always factors to:

(a+b)(a-b), in this case we have:

(x+4)(x-4), we are told that width is (x+4) so the length is:

(x-4)
gorraricardezju
Hello Mate!

[tex]Area=LW[/tex]
[tex]x^2-16=L(x+4)[/tex]
Remember difference of 2 perfect squares to factor [tex]x^2-16[/tex]
[tex](x-4)(x+4)=L(x+4)[/tex]
Divide both sides by [tex](x+4)[/tex]
[tex]x-4=L[/tex]

Therefore, [tex]length=x-4[/tex]

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