waterborn9720 waterborn9720
  • 03-07-2017
  • Mathematics
contestada

The length of a rectangle is 3 m less than twice the width, and the area of the rectangle is 14 m2 . find the dimensions of the rectangle.

Respuesta :

angelamerancin
angelamerancin angelamerancin
  • 04-07-2017
Let W = width and L = length  length is 3 less than twice width  ==>  L = 2*W - 3 Area = L*W = (2*W-3)*W = 14 
2*W^2 -3*W - 14 = 0
(2W - 7)*(W + 2) = 0 
2W - 7 = 0  or  W + 2 = 0
W = 7/2  or  W = -2
Width cannot be negative so W = 7/2 = 3.5
So L = 2*(7/2) - 3 = 7 - 3 = 4 The length is 4 m and the width is 3.5 m   Check:  2*(3.5) - 3 = 4, length is 3 less than twice width
 
Area = L*W = 4*3.5 = 14 m^2 
Answer Link

Otras preguntas

ILL GIVE 10 PIONTS IF YOU ANSWER IM DESPERATE PLZPLZPLZPLZPLZ HELP ME ASAPWhich factor has the least impact on the potential energy or kinetic energy of an obj
Someone please help me with my geometry homework! ​
Write the slope-intercept form of the equation of the line passing through the point (-2,6) and parallel to the line y=4x+5.
the following data reflects the number of defects produced on a assembly line at the Deerfield electronics company for the past 8 days 345013231008104312534230
8.4 divided by 10 = ?
one taco supreme and two pan pizzas provide 3850 calories. Two taco supremes and one pan pizza provide 3770 calories . Find the caloric content of each time .
How many different words in green eggs and ham
Evaluate j/k -0.2k when j=25 and k=5
How many grams of N are in 82.0g of NH2NO3?
What is the fbla magazine called that is published for middle and high school members