A rectangle has a length that is 10 less than 3 times the width. If the rectangle has an area of 8 square feet, what is the width of the rectangle?

Answer 1

Area=8

Length=3W-10

Area=LxW

8=(3w-10)w

8=3w²-10w

0=3w²-10w-8

Factor

0=(3w+2)(w-4)

0=3w+2 would make w=-2/3 which is impossible, cannot have a negative width

so the width must be

0=w-4 w=4