algebra question

Question

If I rent a moving truck that has cargo space of 10ft. and the height is 2ft less than the width. If the truck can hold 350ft3. What are the dimensions of the cargo space?

Answer 1

Assuming that by 'cargo space of 10ft', you mean the cargo area is 10' deep, then the volume would be 10*w*(w-2)=10w²-20w So: 350=10w²-20w -> 35=w²-2w -> w²-2w-35=0 -> (w+5)(w-7)=0 which has solutions of -5 and 7. Since the width cannot be negative, the dimensions are 10x7x5