Question 101313


Here you go:


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.