Congratulations! You won a free grill in sweepstakes! You know that you can fit a rectangular grill in your truck that has a width of 212 feet. The length of the grill can be up to three times the width. What is the largest possible perimeter your new grill can have to fit in your taco truck? Show your work.

Set $r$ is a set of rectangles such that (1) only the grid points shown here are used as vertices, (2) all sides are vertical or horizontal and (3) no two rectangles in the set are congruent. if $r$ contains the maximum possible number of rectangles given these conditions, what fraction of the rectangles in set $r$ are squares? express your answer as a common fraction.

Two cities a and b are 1400km apart and lie on the same n-s line. the latitude of city a is 23 degrees. what is the latitude of city b. the radius of the earth is approximately 6400km.

Iknow the square root of 2 is irrational