Question

a park is shaped like a rectangle with a length 11 times its width w. what is a simplified expression for the distance between opposite corners of the park?

Answer 1

Phytagoras :

AB² = 11² + w²

AB = √121+w²

Answer 2

Width = w
length = 11w
Pythagoras theorem
a^2 + b^2 = c^2
Let's say the width is a, the length is b, and the distance between corners (call it d) is c
w^2 + 11w^2 = d^2
Collect like terms,
12w^2 = d^2
Simply
12w = d