SOLUTION: A park is shaped like a rectangle with a length 10 times its width w. What is a simplified expression for the distance for the distance opposite corners of the park?

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Question 862251: A park is shaped like a rectangle with a length 10 times its width w. What is a simplified expression for the distance for the distance opposite corners of the park?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Dimensions of the rectangle are w and 10w. The diagonal forms two congruent triangles, each a right triangle.

diagonal, d.
d%5E2=%28w%29%5E2%2B%2810w%29%5E2 based on pythagorean theorem.
d=sqrt%28w%5E2%2B100w%5E2%29
d=w%2Asqrt%281%2B100%29
highlight%28d=w%2Asqrt%28101%29%29