Question 245435: The width of a rectangle is 1 foot less than the length. The area is 2 feet squared. Find the lenght and width. Found 2 solutions by solver91311, richwmiller:Answer by solver91311(24713) (Show Source):
Let represent the width of the rectangle. Then, since the width is one foot less than the length, the length must be represented by . The area of a rectangle is the length times the width and the area of this rectangle is given as 2, so:
Distribute and put into standard form:
Now solve the factorable quadratic and discard the negative root. The positive root is the value of the width that you seek.
You can put this solution on YOUR website! The width of a rectangle is 1 foot less than the length. The area is 2 feet squared. Find the length and width.
What is the formula for area of a rectangle?
Length*width=area
L*W=A
L*W=2
W=L-1
substitute L-1 for W
L*(L-1)=2
L^2-1L=2
so the width is 1 and the length is 2
check
1*2=2
