The perimeter of a rectangle is 68 ft. The ratio of its length to its width is 9 : 8. What are the dimensions of the rectangle?

A.
22 ft by 12 ft

B.
18 ft by 16 ft

C.
20 ft by 14 ft

D.
24 ft by 10 ft

Question

The perimeter of a rectangle is 68 ft. The ratio of its length to its width is 9 : 8. What are the dimensions of the rectangle?
  
 
 

 
 

  

  A. 
  22 ft by 12 ft   
   

 
 

  

  B. 
  18 ft by 16 ft   
   

 
 

  

  C. 
  20 ft by 14 ft   
   

 
 

  

  D. 
  24 ft by 10 ft

welshfella · Answer

let length = 9x and width = 8x
perimeter = 2(9x + 8x) = 68

solve for x

welshfella · Answer

then, of course, plug in this value of x into 9x and 8x