Question

The length of a rectangle, l, is six meters more than its width, w. If the perimeter of the rectangle is 36 meters, what is the length of the rectangle, in meters? A. 12 B. 6 C. 15 D. –12

Answer 1

 let's call the width w 

l= w+6 [because l is 6 meters more than width] 


Perimeter = width+width+length+length 

=w+w+ (w+6) + (w+6 ) [ I substituted w+6 in place of l] 

so 4w+ 12=36 

4w= 36-12 
4w=24 
w=24/4 

w=6 

since length = w+6, this means that length is 6+6= 12 

so width= 6 m and length = 12 m