SOLUTION: The length of a rectangle is 7 feet longer then twice the width, if the perimeter is 86 feet. Find the Length and Width of the rectangle

Question 858986: The length of a rectangle is 7 feet longer then twice the width, if the perimeter is 86 feet. Find the Length and Width of the rectangle
Answer by Awesom3guy(31) (Show Source): You can put this solution on YOUR website!
As a rectangle is bounded by two pairs of equal sides a and b, the formula for its perimeter is:
.
Or

If we are talking about length and width.

The length of a rectangle is 7 feet longer then twice the width.

Now we can plug in the place of L in the formula for perimeter and 86 for in the place of P.

Expand the bracket and collect like terms:

The width of the rectangle is 12 feet.

Finding length:

Its length is 31 feet.
Now you want to check.

All good.
RELATED QUESTIONS
The length of a rectangle is 12 feet longer than twice the width. If the perimeter is 114 (answered by fractalier)

the length of a rectangle is 6 ft longer than twice the width. if the perimeter is 66... (answered by FrankM)

The length of a rectangle is 12 feet longer than twice the width. If the perimeter is 72... (answered by ewatrrr)

the length of a rectangle is 11 feet longer than twice the width. The perimeter is 70... (answered by Wutdana)

The length of a rectangle is 7 feet less than twice the width. The perimeter is 64 feet.... (answered by ewatrrr)

The length of a rectangle is five feet longer than twice the width. The perimeter is 64... (answered by lwsshak3)

the length of a rectangle is 10 feet longer than the width. if the perimeter is 104 feet... (answered by stanbon)

The length of a rectangle is 77 feet longer than the width. If the perimeter is 102102... (answered by Alan3354)

The length of a rectangle is twice the width. If the width is 7 feet, find the perimeter (answered by Alan3354)