SOLUTION: The length of a rectangle is 4 cm more than 3 times its width. if the area of the rectangle is 15 sq cm, find the width whats the work

Algebra.Com
Question 953189: The length of a rectangle is 4 cm more than 3 times its width. if the area of the rectangle is 15 sq cm, find the width whats the work
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
The length of a rectangle is k cm more than m times its width. if the area of the rectangle is A sq cm, find the width

L for length
w for width


UNKNOWNS are w and L.
KNOWNS are .

Solve the first system for w. A substitution, simplification, and general solution of a quadratic equation will bring you to the symbolic answer, and you can then substitute the known values and evaluate. You can also choose to substitute the values into the symbolic form quadratic equation, in case it were factorable.

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
The length of a rectangle is 4 cm more than 3 times its width. if the area of the rectangle is 15 sq cm, find the width whats the work
Let width be W
Then length = 3W + 4
With area being 15 sq cm, we get: W(3W + 4) = 15




3W - 5 = 0 OR W + 3 = 0
3W = 5 OR W = - 3 (ignore)
Width, or , or cm
RELATED QUESTIONS

A rectangle is 8 cm longer than it is wide. Find the dimensions of the rectangle if its... (answered by Grinnell,mananth)
The length of a rectangle is 5 cm greater than its width. Find the dimensions of the... (answered by jorel1380)
The length of a rectangle is 4 cm more than twice its width. If the perimeter of the... (answered by sofiyac)
the length of a rectangle is 3 times its width. if the area of a rectangle is 147 cm sq. (answered by drk,richwmiller)
The length of a rectangle is 3 cm more than twice its width. If the perimeter of the... (answered by Cromlix)
The length of a rectangle is 1 cm more than 4 times its width. If the area of the... (answered by checkley71)
The length of a rectangle is 1 cm more than 4 times its width. If the area of the... (answered by ptaylor)
The length of a rectangle is 4 cm more than 2 times its width. If the area of the... (answered by checkley71)
The length of a rectangle is 5 cm more than 3 times its width. The area of the rectangle... (answered by ikleyn,MathLover1,greenestamps)