Question

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

Answer 1

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).