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PLEASE HELP . A playground is shaped like a rectangle with a width 5 times its length (l). What is a simplified expression for the distance between opposite corners of the playground?
Use the Pythagorean Teorem: [tex]l^2+(5l)^2=d^2\\l^2+5^2l^2=d^2\\d^2=l^2+25l^2\\d^2=26l^2\\d=\sqrt{26}^2\\d=\sqrt{26}\cdot\sqrt{l^2}\\\boxed{d=l\sqrt{26}}[/tex]
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