The length of a rectangular picture Fram is 4 inches. more than 3 times the width and its perimeter is156 inches. find the length and the width

Question

what is the width and what is the length of the picture Frame?

Answer 1

P = 2*L + 2*w

 

L = 3w + 4

 

156 = 2(3w+4) + 2w

 

156 = 6w + 8 + 2w

 

156 = 8w + 8

 

148 = 8w

 

w = 148/8 = 74/4 = 37/2 = 18.5

 

L = 4 + 3(18.5) = 4 + 55.5 = 59.5

 

2*59.5 + 2*18.5 =  119 + 37 = 156

 

The length is 59.5 and the width is 18.5