SOLUTION: a rectangle is 6 inches longer than it is wide the area of the reran gel is 112 square inches find the length and width of the rectangle

Question 970445: a rectangle is 6 inches longer than it is wide the area of the reran gel is 112 square inches find the length and width of the rectangle

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
L*w=Area=112 in^2
w
L=w +6
w(w+6)=112
w^2+6w-112=0 This is distributing the w and subtracting 112 from both sides. I now have a quadratic equation.
Factor it
4/23 no 8/14 yes
(w+14)(w-8)=0 ; This works if either w+14 or w-6=0
w=-14, w=8 ; only the second makes sense
length=8+6=14
14*8=112 (in*in=in^2).
The length is 14 and the width is 8

RELATED QUESTIONS
A rectangle is four inches longer than it is wide. Its area is 30 square inches. What are (answered by JulietG)

A rectangle is 5 inches longer than it is wide. Find the dimensions of the rectangle if... (answered by Alan3354,josgarithmetic)

The length of a rectangle is 6 inches longer than it is wide. If the area is 216 square... (answered by ikleyn)

A rectangular blanket is 20 inches longer than it is wide. If the area of the blanket is... (answered by tutorcecilia)

A rectangular board is 8 inches longer than it is wide. If the area of the board is 48... (answered by mananth)

A rectangular window is 10 inches longer than it is wide. If the area of the window is... (answered by checkley77)

The length of a rectangle is two inches less than its width. If the area of the... (answered by mananth)

a rectangular board is 8 inches longer than it is wide. if the area of the board is 48... (answered by Deina)

The length of a rectangle is 6 inches longer than it is wide. If the area is 160 square... (answered by checkley77)