SOLUTION: what is the area of a rectangle with a length of 45 and diagonals of 51?

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Question 228675: what is the area of a rectangle with a length of 45 and diagonals of 51?
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
Let x= width of the rectangle. By Theorem of Pythagoras
x%5E2+%2B+45%5E2+=+51%5E2 Got calculators???

x%5E2+%2B+2025=+2601
x%5E2+=+2601-2025
x%5E2=+576
x=0%2B-sqrt%28576%29

Reject negative values of x.
x=+24

Area = L*W
Area=45*24
Area=1080 square units

Dr. Robert J. Rapalje, Retired
Seminole State College of Florida