10 Square Units on Dot PaperDate: 03/01/2003 at 09:55:06 From: Cleonatra Subject: Square units How can I draw a square with 10 square units on dot paper? Every time I try I can't seem to come up with a square with 10 square units - only 9. Date: 03/01/2003 at 11:50:05 From: Doctor Douglas Subject: Re: Square units Hi Cleonatra, Thanks for submitting your question to the Math Forum. To draw a square whose area is 10 sq units, the side length must be sqrt(10) units long. This means that the sides must be some sort of diagonal line on the graph paper. X . B . the square ABCD has sides of length sqrt(1x1 + 2x2) = sqrt(5), so that its A . . . area is 5 sq units. We can see this by applying the Pythagorean theorem to . . . C the triangle AXB (we see that X is a right angle) . D . . So for a square whose area is 10 sq units, you'll need to find a way to get a side of length sqrt(10). Hint: 10 = 9 + 1. Can you finish off the problem with this hint? - Doctor Douglas, The Math Forum http://mathforum.org/dr.math/ |
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