SOLUTION: A LAND MASS IS ROUGHLY IN THE SHAPE OF A RECTANGLE WHOSE PERIMETER IS 1200 MILES. THE WIDTH IS 80 MILES LESS THAN THE LENGTH. FIND THE LENGTH AND THE WIDTH.

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: A LAND MASS IS ROUGHLY IN THE SHAPE OF A RECTANGLE WHOSE PERIMETER IS 1200 MILES. THE WIDTH IS 80 MILES LESS THAN THE LENGTH. FIND THE LENGTH AND THE WIDTH.      Log On

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Question 672459: A LAND MASS IS ROUGHLY IN THE SHAPE OF A RECTANGLE WHOSE PERIMETER IS 1200 MILES. THE WIDTH IS 80 MILES LESS THAN THE LENGTH. FIND THE LENGTH AND THE WIDTH.
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

a perimeter of the rectangle: P=2L%2B2W
if the length L=W%2B80mil
and P=1200mil
then
1200mil=2%28W%2B80mil%29%2B2W......solve for W
1200mil=2W%2B160mil%2B2W
1200mil-160mil=4W
1040mil=4W
1040mil%2F4=W
highlight%28260mil=W%29
now find L

L=W%2B80mil
L=260mil%2B80mil
highlight%28L=340mil%29