SOLUTION: Find the area of a parallelogram. The top is 20m the left side is 5m and the bottom left corner is 45degrees

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Question 448604: Find the area of a parallelogram.
The top is 20m the left side is 5m and the bottom left corner is 45degrees

Answer by cleomenius(959) About Me  (Show Source):
You can put this solution on YOUR website!
The area of a parallelogram is equal to the product of the length of one of its sides and the height to that side.
We can draw a line from the top left vertex perpendicular to the bottom, this will create a 90 degree right angle at the bottom ( which we know is 20 )
We have now formed a 45 45 90 triangle, in which we know the hypotenuse to be 5.
Finding the side will give us the height we need for the area calculation.
5 = ssqrt%282%29, therefor 5/sqrt%282%29 = s.
This works out to 5sqrt%282%29/2.
Multiply by the length to that side, which is 20, and we obtain 50sqrt%282%29.
Cleomenius.