The length of a rectangular garden is 3 yard more than twice its width. the perimeter of the garden is 36yd. what are the width and length of the garden?
If the width is w, what's the length (in terms of w)?
x + x + 2x + 3 + 2x +3 = 36 the 2x's are for the "twice the width" part and the two 3's are for the 3yds more part. then combine like terms 6x+6 = 36 minus the 6 over 6x = 36-6 6x = 30 then just finish out with algebra x = 30/6 x = 5yds
since the length is 3 yards more than twice the width then l=3+2x and x is the width. You then add 2(3+2x)+2(x) since there are two widths and length and set that equal to 36. 6+4x+2x=36. 6x+6=36 6x=30 x=5 plug in your value into the length and width equations (3+2x) and (x) to find length and width
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