SOLUTION: A rectangular parcel of land has an area of 5,000 ft^2. A diagonal between opposite corners is measured to be 20 ft longer than one side of the parcel. What are the dimensions of t

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Question 999527: A rectangular parcel of land has an area of 5,000 ft^2. A diagonal between opposite corners is measured to be 20 ft longer than one side of the parcel. What are the dimensions of the land, correct to the nearest foot?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let one side be x
Area = 5000
so other side is 5000/x
diagonal is (x+20)
using Pythagoras theorem
%28x%2B20%29%5E2+=+x%5E2%2B%285000%2Fx%29%5E2

x%5E2%2B40x%2B400+=+x%5E2+%2B+25000000%2Fx%5E2

40x%2B400+-25000000%2Fx%5E2+=0
/40
x+10 -625000/x^2=0
x^3+10x^2-625000=0
solve cubic equation
x=82.3
dimensions are 82.3 & 60.7 ft