SOLUTION: Quadratic Equations 11. A rectangle has perimeter 23 cm. Its area is 33cm^2. Determine the dimensions of the rectangle. Include a diagram in your solution. Thanks@!!!

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: Quadratic Equations 11. A rectangle has perimeter 23 cm. Its area is 33cm^2. Determine the dimensions of the rectangle. Include a diagram in your solution. Thanks@!!!      Log On


   

Question 198391: Quadratic Equations
11. A rectangle has perimeter 23 cm. Its area is 33cm^2. Determine the dimensions of the rectangle. Include a diagram in your solution.
Thanks@!!!
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
2L+2w=23
Lw=33
.
L=33/w
2*33/w+2w=23
66+2w^2=23w multiply each side by w.
2w^2-23w+66=0
2w^2-12w-11w+66=0
2w(w-6)-11(w-6)=0
(2w-11)(w-6)=0
.
2w-11=0
2w=11
w=11/2 cm
.
w=6 cm
.
Ed