SOLUTION: The length of a rectangle is 6 inches more than its width. The area of the rectangle is 91 square inches.
Please tell how this is done thanks
Algebra.Com
Question 752562: The length of a rectangle is 6 inches more than its width. The area of the rectangle is 91 square inches.
Please tell how this is done thanks
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The length of a rectangle is 6 inches more than its width. The area of the rectangle is 91 square inches.
-------------------
Let width be "x":
Then length will be "x+6":
---------------------
Equation:
Area = length*width
A(x) = x(x+6) = 91
x^2 + 6x - 91 = 0
----------------------
x^2 + 13x - 7x -91 = 0
x(x+13)-7(x+13) = 0
(x+13)(x-7) = 0
Positive solution:
x = 7 inches (width)
x+6 = 13 inches (length)
=================
Cheers,
Stan H.
======================
RELATED QUESTIONS
The length of a rectangle is 6 inches more than its width. The area of the rectangle... (answered by checkley79)
[ The length of a rectangle is 7 inches more than 5 times its width, the area is 108... (answered by TimothyLamb)
The length of a rectangle is 5 inches more than its width. The area of the rectangle is... (answered by amarjeeth123)
The length of a rectangle is 4 inches more than its width. If the area of the rectangle... (answered by richard1234)
The length of a rectangle is 5 inches more than its width . If the area of a rectangle is (answered by ewatrrr)
The area of a rectangle is 91 square inches. Its length is 1 inch less than twice its... (answered by ewatrrr)
the length of a rectangle is 6 more inches than the width. the area of the rectangle is... (answered by stanbon)
The length of a rectangle is 5 inches more than twice the width. The area of the... (answered by Earlsdon,Targetweek)
The area of a rectangle is 91 square inches. It's length is 1 inch les than twice its... (answered by JBarnum,Alan3354)