SOLUTION: a Reactangle is twice as long as it is wide. If its length and width are both dimentions are increased by 4 m, its area is increased by 88m^2. Make a sketch and find the original d

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: a Reactangle is twice as long as it is wide. If its length and width are both dimentions are increased by 4 m, its area is increased by 88m^2. Make a sketch and find the original d      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 250718: a Reactangle is twice as long as it is wide. If its length and width are both dimentions are increased by 4 m, its area is increased by 88m^2. Make a sketch and find the original dimentions of the rectangle
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
First rectangle.
a Rectangle is twice as long as it is wide translates to
(i) L = 2W
If its length and width are both dimentions are increased by 4 m is translated to
L+4, W + 4.
its area is increased by 88m^2 means that new area - original area = 88m^2.
--
original area from (i)
A = LW = (2W)(W) = 2W^2
--
new area after + 4 to both L and W.
A = LW = (2W+4)(W+4) = 2W^2 + 12W + 16.
--
new area - old area = 88 is
2W^2 + 12W + 16 - 2W^2 = 88
12W + 16 = 88
12W = 72
W = 6
L = 12.
I am hoping from this you can make the sketch.