Question

The length of a rectangle is four times its width. If the perimeter is at most 100 centimeters, what is the greatest possible value for the width?

Answer 1

P=2(L+W)
100≥P

L is 4 times W
L=4W
sub 4W for L

100≥2(4W+W)
100≥2(5W)
100≥10W
divide both sides by 10
10≥W

the greatest possible width is 10cm