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

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) (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=(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.
RELATED QUESTIONS
The length of a rectangle is 6 cm less than twice its width. Find the dimensions of the... (answered by checkley77)

The width of a rectangle is 4 less than twice its length. If the area of the rectangle is (answered by Ms.Smith)

The width of a rectangle is 3 less than twice its length. If the area of the rectangle is (answered by checkley77)

The width of a rectangle is 5 less than twice its length. If the area of the rectangle is (answered by checkley77)

The width of a rectangle is 4 less than twice its length. If the area of the rectangle... (answered by Nada,MathLover1)

The length of a rectangle is 9 cm less than twice its width. If the area of the rectangle (answered by ewatrrr)

the length of a rectangle is 6 cm less than twice its width. find the dimintions of the... (answered by TutorDelphia)

the length of a rectangle is 6 cm less than twice its width. the perimeter of the... (answered by lwsshak3)

the length of a rectangle is 8 cm less than twice its width. Find the dimensions of the... (answered by nyc_function)

the length of a rectangle is 2 centimeters less than its width. What are the dimensions... (answered by Alan3354)