Observe the figure:

Area of the rectangle is .

Length of the rectangle is and width of the rectangle is .

Standard form of the area of the rectangle is .

Find -value.

                                 (Formula for area)

                (Substitute , and )

                         (Factor the difference of the squares: )

                            (Substitute )

           (Subtract from each side)

                          (Apply additive inverse property: )

                        (Write in form )

            (Factor the difference of the squares: )

and          (Cancel square and root terms)

Dimensions cannot be negative.

The value of is .

Length of the rectangle is .

Width of the rectangle is .

The value of is .

Length of the rectangle is .

Width of the rectangle is .