SOLUTION: Please help solve this problem: The length of a rectangle is 20 less than the width. If the area is 343, how long is the length?

Question 785785: Please help solve this problem:
The length of a rectangle is 20 less than the width. If the area is 343, how long is the length?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
width =x
length = x-20
Area = L*W
x(x-20)=343
x^2-20x=343
x^2-20x-343=0
Find the roots of the equation by quadratic formula

a= 1 , b= -20 , c= -343

b^2-4ac= 400 + 1372
b^2-4ac= 1772

x1=( 20 + 42.1 )/ 2
x1= 31.05

x2=( 20 -42.1 ) / 2
x2= -11.05
Ignore negative value
width =31.048
length = 31.048-20= 11.048

m.ananth@hotmail.ca

RELATED QUESTIONS
Please help me solve this word problem: the width of a rectangle is 1 centimeter less... (answered by sudhanshu_kmr)

please help me solve this i've been trying forever. the width of a rectangle is 3 cm... (answered by Alan3354,solver91311)

Please help, I can't remember the steps to solve this problem. The width of a rectangle... (answered by MathLover1)

Please help me solve this: The perimeter of a rectangle is 10 ft. The width is 3ft less... (answered by ReadingBoosters,josmiceli)

Please help me solve this equation: The length of a rectangle is 3 centimeters less than... (answered by stanbon)

please help solve this problem The length of a rectangle is twice its width. If the... (answered by checkley71)

Please can you help me with this problem. I really do appreciate your help... The... (answered by MathLover1,lwsshak3,solver91311)

Please help me solve this word problem. Geometry. The length of a rectangle is 2 cm... (answered by ankor@dixie-net.com)

please explain how to answer this word problem.....the length of a rectangle is 3 feet... (answered by Fombitz)