SOLUTION: a rectangular parcel of land is 60ft wide. the length of a diagonal between opposite corners is 15ft more than the length of the parcel. what is the lenght of the parcel? (round an

Algebra ->  Pythagorean-theorem -> SOLUTION: a rectangular parcel of land is 60ft wide. the length of a diagonal between opposite corners is 15ft more than the length of the parcel. what is the lenght of the parcel? (round an      Log On


   

Question 178155: a rectangular parcel of land is 60ft wide. the length of a diagonal between opposite corners is 15ft more than the length of the parcel. what is the lenght of the parcel? (round answer to one decimal place.)
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!

One leg of the triangle is given as 60 ft. The other leg of the triangle is x, and the hypotenuse is given as .

According to Pythagoras: , so:



Use FOIL to expand the binomial:









Which represents the length of the parcel without need for rounding. However, you might share with your instructor that if s/he wanted the answer to one decimal place, then the input measurements should have been given to one decimal place as well. In other words the problem should have been stated:

"A rectangular parcel of land is 60.0 ft wide. the length of a diagonal between opposite corners is 15.0 ft more than the length of the parcel. What is the length of the parcel?"