SOLUTION: The length of a rectangle is 2 feet more than 5 times the width. If the area is 51 square feet, find the width and the length.

Question 951278: The length of a rectangle is 2 feet more than 5 times the width. If the area is 51 square feet, find the width and the length.
Answer by sophxmai(62) (Show Source): You can put this solution on YOUR website!
The length of a rectangle is 2 feet more than 5 times the width. If the area is 51 square feet, find the width and the length.

Area of a rectangle is the length times the width.

Let width=x
If the length is 2 feet more than 5 times the width, then let length=5x+2
From the question, the area=51

So,

A=wl
A=x(5x+2)
51=x(5x+2)

Now solve for x

51=x(5x+2)
51=5x^2+2x
0=5x^2+2x-51
0=(5x+17)(x-3)
x=-17/5, x=3

Since the width of a rectangle can't be negative, we can disregard that solution and thus x, the width=3

and if the length is 2 more than 5 times the width, the length would be 17
RELATED QUESTIONS
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 3 feet more than 4 times the width. If the area is 45... (answered by Cromlix)

The length of a rectangle is 4 feet more than 3 times the width. If the area is 64 square (answered by ewatrrr)

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

The length of a rectangle is 5 feet more than times the width, and the area is 296 square (answered by JulietG)

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

the perimeter of a rectangle is 52 feet. the length is 2 feet shorter than three times... (answered by Seutip)

The length of a rectangle is 8 feet more than the width. If the area of the rectangle is... (answered by TimothyLamb)

The width of a rectangle is 7 feet less than its length. If the area of the rectangle is... (answered by Alan3354)