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Perimeter = P = 450;
Width = w;
Length = l = w + 25
Formula for the perimeter of a rectangular shape: P = 2l + 2w
Substitution of variables by their equivalent numbers:
450 = 2(w + 25) + 2w (substituted)
450 = 2w + 50 + 2w (applieded distributive property)
450 = 4w + 50 (combined like terms)
400 = 4w (subtracted 50 on both sides)
100 = w (divided by 4 on both sides)
The width w is 100 m.
Length:
l = w + 25
l = 100 + 25
l = 125
The length l is 125 m.
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