Hi,

     .

A = Lw

64ft^2 = (3w+4)w

3w^2 + 4w - 64 = 0 (tossing out negative solution for unit measure)

(3w +16)(w -4)= 0

w = 4ft  and L = 16ft 

and...checking

A = Lw = 64ft^2

 

RELATED QUESTIONS

The length of a rectangle is 3  feet more than 4  times the width. If the area is 45... (answered by Cromlix)

The length of a rectangle is 2 feet more than 3 times the width. If the area is 16 square  (answered by mathsmiles)

The length of a rectangle is 2 feet more than 5 times the width. If the area is 51 square  (answered by sophxmai)

the length of a rectangle is three feet more than twice the width . the area of the... (answered by mananth)

The length of a rectangle is 3 more than the width. The area is 88 square feet. Find the... (answered by Fombitz)

What is the area, in square feet, of a rectangle whose width is 6 feet and whose length... (answered by macston)

The width of a rectangle is 16 feet less than 3 times the length .  if the area is 35... (answered by Fombitz)

a rectangle has an area of 54 square feet. if the length is 3 feet more than the width,... (answered by checkley79)

I need help figuring the steps to this problem: The length of a rectangle is five feet... (answered by rimjhim.tomar)