SOLUTION: Plz show me a model of rectangle that have a diagonal is 8m and the area is 60 square meter

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Question 987115: Plz show me a model of rectangle that have a diagonal is 8m and the area is 60 square meter
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
For the area of a rectangle,
A=L%2AW=60
For the diagonal of a rectangle,
L%5E2%2BW%5E2=8%5E2
L%5E2%2BW%5E2=64
From the area formula,
L=60%2FW
L%5E2=3600%2FW%5E2
Substituting,
3600%2FW%5E2%2BW%5E2=64
3600%2BW%5E4=64W%5E2
Substitute,
u=W%5E2
3600%2Bu%5E2=64u
u%5E2-64u%2B3600=0
This equation does not have a real solution, only a complex solution.
In other words, there is no rectangle that can have an area of 60 and a diagonal of 8.
Check your problem setup and repost.
The minimum diagonal occurs when L=W=sqrt%2860%29 and is equal to D=sqrt%2860%29%2Asqrt%282%29