D.LET X= THE LENGTH OF THE COURTYARD. STATEMENT (1) STATES THAT 2X...

57. d.Let x= the length of the courtyard. Statement (1) states that 2x+ 2 = the width of the courtyard.Using the formula area= length×width, we get the equation 60 = x(2x+ 2), which can be solved forx. Statement (1) is sufficient. Using statement (2), the diagonal divides the courtyard into two congru-ent right triangles. If the diagonal is 13 meters, and the dimensions are whole numbers, this must be a5—12—13 right triangle. The length is 5 meters, and statement (2) is also sufficient.