The perimeter of a rectanglar garden is 150ft the lenght is 50 feet longer tgan wide

Perimeter = 150

l = length
w = width

l + l + w + w = 150
l = w + 50

plug in w + 50 for l

(w + 50) + (w + 50) + w + w = 150

4w + 100 = 150

4w + 100 (-100) = 150 (-100)

4w = 50

4w/4 = 50/4

w = 12.5

l = w + 50
l = (12.5) + 50
l = 62.5

w = 12.5, l = 62.5

hope this helps