SOLUTION: If a rectangle has the area of 64 radical 3 what is the length and width?
The picture shows the rectangle with a diagonal drawn from the top right corner to the bottom left corner
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Question 438030: If a rectangle has the area of 64 radical 3 what is the length and width?
The picture shows the rectangle with a diagonal drawn from the top right corner to the bottom left corner. There is an angle measure of 30 degrees in the bottom left corner (the bottom of the two angle formed by the diagonal drawn). I think that just means the two triangles in the rectangle are 30 60 90 triangles.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Yep. 30-60-90 triangle. So if the short side of the rectangle is 
, the hypotenuse of the triangle (that is to say the diagonal of the rectangle) has to be 
and the long side of the rectangle has to be 
.
Since the area of the rectangle has to be length times width or 
, we can say:
Just solve for
John
My calculator said it, I believe it, that settles it
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