SOLUTION: The width of a rectangle is 5 feet, and the diagonal is 8 feet. Which is the area of the rectangle? (Round to nearest hundredth.)

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Question 453501: The width of a rectangle is 5 feet, and the diagonal is 8 feet. Which is the area of the rectangle? (Round to nearest hundredth.)
Answer by pedjajov(51) About Me  (Show Source):
You can put this solution on YOUR website!
In rectangle with width=w, length=l and diagonal=d we have:
w%5E2%2Bl%5E2=d%5E2
:
For the given values we have:
5%5E2%2Bl%5E2=8%5E2
25%2Bl%5E2=64
l%5E2=39
l=sqrt%2839%29
l=6.24499 -> rounded to the nundreth -> l=6.24 ft
:
Area of the rectangle is
A=w%2Al
A=5%2A6.24
A=31.20 -> area is 31.20 sqf