Mathematics: The AREA of little Tommy s backyard rectangular sandbox can be represented by the given trinomial. Select the correct expression that can represent the LENGTH of the sandbox. (x²-6x+8) ft² options... (x+4) ft (x+8) ft (x-6) ft (x+6) ft (x+2) ft (x-2) ft

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The AREA of little Tommy s backyard rectangular sandbox

tsunommygames

05.02.2022

Step-by-step explanation:

The area of little Tommy's backyard rectangular sandbox can be represented by the given trinomial.

A = (x²-6x+8) ft²

We know that the area of a rectangle is given by :

A = L × B

$LB=(x^2-6x+8) \\\\=x^2-(-4x-2x)+8\\\\=x^2+4x+2x+8\\\\=x(x+4)+2(x+4)\\\\=(x+2)(x+4)$

The length of the rectangle can be either (x+2) or (x+4).

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