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?
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
