A rectangular rug has a perimeter of 470 yards. The width of the rug is 5 yards more than four times the length. find the length and width

Answer 1

Here's another approach:

W = 4L + 5

P = 470 = 2W + 2L -> = 2(4L + 5) + 2L -> = 8L + 10 + 2L = 10L + 10

470 = 10L + 10 -> 460 = 10L -> L = 46 yds

W = 4(46) + 5 = 184 + 5 = 189 yds

Check: 46 + 189 + 46 + 189 = 470

Answer 2

W=5+4L

Perimeter = twice the length+width = P=2(L+W) = 470

L+W = 235

L+5+4L = 235

5L = 230

L =46 yards long

W = 5+4(46) = 5+184 = 189 yards wide

2(189+46) = 2(235)= 470