To find: All three dimensions of the lot.
All three dimensions of the lot are 168 ft, 175 ft and 49 ft.
The shape of a city lot is right triangle with perimeter 396 ft.
Hypotenuse of triangle is 7 ft longer than one of the other sides.
Let the one side of triangle be x.
Tabulate the given information into the language of algebra.
|In words||In algebra|
|One side of triangle||x|
|Hypotenuse of triangle|
|Other side of triangle|
Model the equation for the above information.
Simplify the above equation for x,
Factor the above equation,
One side of right triangle is 168 ft.
Hypotenuse of triangle is,
Other side of triangle is,
Thus, all three dimensions of the lot are 168 ft, 175 ft and 49 ft.
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