Solve the equation algebraially

Question

The perimeter of a rectangle is 164 feet. The length is 3 feet less than 4 times the width. Find the dimensions of the rectangle.

Answer 1

Width=x

Length=4x-3

x+4x-3+x+4x-3=164

10x-6=164

10x=170

x=17

 

Width= 17ft 

Length= 4 (17)-3=65ft

65+65+17+17=164 feet

Answer 2

w=width

4w-3=length

P=2l+2w

164=2(4w-3)+2w

164=8w-6+2w

164=10w-6

164+6=10w

170=10w

w=170/10

w=17 feet

length=4*17-3=68-3=65 feet

check: 2*17+2*65=34+130=164