SOLUTION: The length of a rectangle is 4 more than the width. The area is 357 square centimeters. Find the length and width of the rectangle.

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Question 1101255: The length of a rectangle is 4 more than the width. The area is 357 square centimeters. Find the length and width of the rectangle.
Found 2 solutions by jorel1380, ikleyn:
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
Let w be the width; and w+4 be the length. Then:
w(w+4)=357
w²+4w-357=0
(w+21)(w-17)=0
w=17 or -21
The width and length of the rectangle are 17cm and 21cm, respectively
☺☺☺☺

Answer by ikleyn(52835) About Me  (Show Source):
You can put this solution on YOUR website!
.
Area = L*W,   or

357 = w*(w+4).


Solve this quadratic equation

w^2 + 4w - 357 = 0,

w%5B1%2C2%5D = %28-4+%2B-+sqrt%284%5E2%2B4%2A357%29%29%2F2 = %28-4+%2B-+38%29%2F2.

The only positive root is  w = 17.


Answer.  The dimensions of the rectangle are 17 and 21 centimeters.


Check.   17*21 = 357.   ! correct !

Solved.