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?

Question

(1 point)

Answer 1

The distance between opposite corners of the playground can be found using the Pythagorean Theorem.

Let the length of the rectangle be represented by l, and the width be 5l.

The distance between opposite corners, which forms the hypotenuse of a right triangle, can be calculated using the equation:
d^2 = l^2 + (5l)^2
d^2 = l^2 + 25l^2
d^2 = 26l^2
d = sqrt(26) * l

Thus, the simplified expression for the distance between opposite corners of the playground is sqrt(26) * l.