SOLUTION: The width of a rectangle is 6 less than twice its length. If the area of the rectangle is 180 cm, what is the length of the diagonal? Note: Your answer must be a number. It may

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: The width of a rectangle is 6 less than twice its length. If the area of the rectangle is 180 cm, what is the length of the diagonal? Note: Your answer must be a number. It may      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 156530: The width of a rectangle is 6 less than twice its length. If the area of the rectangle is 180 cm, what is the length of the diagonal?
Note: Your answer must be a number. It may not contain any arithmetic operations.
The length of the diagonal is?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
W=2L-6
L(2L-6)=180
2L^2-6L-180=0
2(L^2-3L-90)=0
L+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
L=(3+-SQRT[-3^2-4*1*-90])/2*1
L=(3+-SQRT9+360])/2
L=(3+-SQRT369)/2
L=(3+-19.21)/2
L=(3+19.21)/2
L=22.21/2
L=11.1 cm. IS THE LENGTH.
W=2*11.1-6
W=22.2-6
W=16.2 cm. IS THE WIDTH.
C^2=11.1^2+16.2^2
C^2=123.21+262.44
C^2=385.65
C=SQRT385.65
C=19.64 cm. LENGTH OF THE DIAGONAL.