SOLUTION: solve using Applications of a non linear system Find the length and width of a rectangle whose perimeter is 20 feet and whose area is 21 square feet

Algebra ->  Systems-of-equations -> SOLUTION: solve using Applications of a non linear system Find the length and width of a rectangle whose perimeter is 20 feet and whose area is 21 square feet       Log On


   



Question 731786: solve using Applications of a non linear system
Find the length and width of a rectangle whose perimeter is 20 feet and whose area is 21 square feet

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the length and width of a rectangle whose perimeter is 20 feet and whose area is 21 square feet
--------------------
20 = 2(L + W)
----
L*W = 21
-------------------
Equation:
L + W = 10
L*W = 21
----
Substitute for "L" and solve for "W"
(10-W)W = 21
10W - W^2 = 21
W^2 - 10W + 21 = 0
Factor:
(W-3)(W-7) = 0
Width = 3 or Width = 7
----
If Width = 3, then Length = 7
If Width = 7 then Length = 3
-----------------------
Cheers,
Stan H.