A playground is shaped like a rectangle with a width 5 time its length (/). What is a simplified expression for the distance between opposite corners of the playground?
A. 1√26
B. 5/
C. 26/^2
D. 6/
The distance between opposite corners of a rectangle can be found using the Pythagorean theorem.
Let the length of the rectangle be x and the width be 5x.
By the Pythagorean theorem:
Distance = √(x^2 + (5x)^2)
Distance = √(x^2 + 25x^2)
Distance = √(26x^2)
Distance = √(26) * x
Therefore, the simplified expression for the distance between opposite corners of the playground is:
A. 1√26