The area of a rectangle is: x²-1/2
a)What must be the length of this rectangle if its width is x-1
b)For what value of x is this rectangle a square?
We know that Area of a rectangle is
Where
(a) we have width, to be:
Let the length be
Dividing both sides by
unit
Which gives the expression for the length of the rectangle as inform of .
(b) We have the formula for Area of a square to be:
(in unit squared)
Where
By collecting the like terms
Multiply through by -1
Cross multiply
Therefore, the value of for which the rectangle is a square is
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