The length of a rectangular garden is 4 m more than 3 times its width. The perimeter of the rectangle is 46 cm, find the width of the rectangle.
asked Sep 22, 2013 in Geometry Answers by Kcole

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2 Answers

mi ges bout wot yu meen: . . . rektangel, rim-leng=46, leng=3*wide+4 . . . half-rim=23=leng+wide . . . 23=wide+3*wide+4 . . . 4*wide+4=23 . . . 4*wide=19 . . . wide=19/4=4.75 . . . leng=3(4.75)+4=14.25+4=18.25 . . . . 4.75+18.25=23
answered Sep 23, 2013 by muneepenee
Please be careful when typing in the problem. You state that the perimeter is only 46 cm, yet the length is 4 m longer than the width. That added 4 m on a single side is 8.7 times LONGER than the entire perimeter, without using the yet to be determined width and length.

The equation P = 2L + 2W can be simplified by dividing by 2: P/2 = L + W

 (3w+ 4) + w = 23    < half the perimeter

4w = 19

w = 19 / 4 = 4.75

l = (3 * 4.75) + 4 = 18.25
answered Mar 25, 2015 by CWA Level 11 User (78,600 points)

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