+0  
 
+1
103
1
avatar

The perimeter of a rectangle is 86 units. The length is 7 more than 5 times the width. Find the length.

 Dec 28, 2019
 #1
avatar+21973 
+1

Perimeter = L  +  L + W + W = 2L + 2W

L= 5W + 7  (given)

  or   (L-7)/5 = W

 

2L + 2W = 86                             (substitute in W = (l-7)/5)

2L + 2 ( L-7)/5   = 86                  (multiply both sides by 5)

10L + 2L - 14 = 430                     (simplify)

12L = 444                                    (divide both sides by 12)

L = 37                                W = 6

 Dec 28, 2019
edited by ElectricPavlov  Dec 28, 2019

54 Online Users

avatar
avatar
avatar
avatar
avatar
avatar
avatar