SOLUTION: }llA parcel of land is 5 ft longer than it is wide. Each diagonal from one corner to the opposite corner is 145 ft long. What are the dimensions of the parcel?

Question 1121931: }llA parcel of land is 5 ft longer than it is wide. Each diagonal from one corner to the opposite corner is 145 ft long. What are the dimensions of the parcel?
Found 2 solutions by josmiceli, greenestamps:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let the width =
Length =
��

( by looking at it )
( needs to be positive )

The parcel is 100 x 105
��-
Check:

OK

Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Since the length of the diagonal is a whole number, and the difference between the side lengths is a whole number, the answer is going to have to be a Pythagorean triple.

We can make a "scale model" of the parcel of land by dividing everything by 5; that makes the length 1 more than the width, and the diagonal is 29.

Do you recognize a Pythagorean triple with hypotenuse 29? It is (20,21,29).

So the dimensions of the scale model rectangle are 20x21; the dimensions of the actual parcel are 100x105.
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