A rectangle has a legnth of 12 inches less than 6 times its width. If the area of the rectangle is 3744 square inches, find the  legnth of the rectangle.
       
      
                
     
    
    
    
    1  answer:
            
              
Length = 6x - 12
Width = x
Area of a rectangle: 
A = length x width
3744 = (x)(6x - 12)
3744 = 6x^2 - 12x
6x^2 - 12x - 3744 = 0
Use the quadratic equation to solve for x. The two solutions end up being 26 and -24. Since length is a scalar measurement, it can only be positive. Thus, the value of x is equal to 26 inches.
Width = 26 inches
Length = 6(26) - 12 = 144 inches
Hope this helps!! :)
 
                                
             
         	
    You might be interested in
    
        
        
Answer: 
43.75 miles
Step-by-step explanation: 
You divide the 35 by 4 and then just add it to the original distance of 35 miles. 35/4=8.75
8.75+35=43.75
 
        
             
        
        
        
That answer is correct, 9x + 4 -5y. Only like terms are the x terms and we add 3 and 6 together.
 
        
             
        
        
        
Answer: 
1st blank: 4
2nd blank: -8
y=2
Step-by-step explanation: 
-2²=4
4(-2)=-8
1 x 4 = 4
4 + -8 = -4
-4 + 6 = 2
 
        
                    
             
        
        
        
F(x) = 1 - xf(-3) = 4 
        
                    
             
        
        
        
Answer: 
Factor and set each factor equal to zero. Y=x2+5x−8
Step-by-step explanation: