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. 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?

Sagot :

Look at the picture.

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]

View image Аноним
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