Question

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?

Answer 1

Look at the picture.

Use the Pythagorean Teorem:

`l^2+(5l)^2=d^2\\l^2+5^2l^2=d^2\\d^2=l^2+25l^2\\d^2=26l^2\\d=√(26)^2\\d=√(26)\cdot√(l^2)\\\boxed{d=l√(26)}`