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[{"item_id":"20635-DC","date":"2018-08-05 00:00:00","section":"Math","sub_section":"Math with Calculator","difficulty":"Hard","instructions":["<p>Read the following question and then select the best answer.</p>\n"],"prompt":"<p>The dimensions of the screen of a certain cell phone are in the ratio <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"data:image/png;base64,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\" alt=\"3 : 2\"></span>. The screen measures <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACAAAAAWCAYAAAChWZ5EAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAALV/ZLFgAAAAFzUkdCAK7OHOkAAAAEZ0FNQQAAsY8L/GEFAAAA3UlEQVRIS+2Tyw3EIAxEKY+CKIdeaIVOJhhCQowNbKRcVjzJh/DxDLZjOMEZWB9xfj5AcLR+hkU6Jp5rASK8rXdKaPkvAelA2btF+bfELe4Q0N4TNKK3eYOCb9ZEfJ2qZVx4JmpA9LCCyaJ1m2peE+AkAzmRQdIaJ1qk6An3kJZ0A/1L1EQTcuWsT3VdNaD0W1sfUe701cx8baCKq3PzZQuuIR8M7cTA+yHMPRfydqgGXv6GRH35VJzQDBC831L/uVit3JI4MTJAXH3M0c8EN/A8z+P333ez2Wz+EWMOseWOJX19PBAAAAAASUVORK5CYII=\" alt=\"10.2\"></span> centimeters diagonally. What is the approximate length, to the nearest hundredth of a centimeter, of the shortest side of the screen?</p>\n","answer":{"style":"Multiple Choice","hint":"<p>Start by finding the ratio of the diagonal length to the shortest side length.<p><img src=\"data:image/png;base64,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\" alt=\"The image is a rectangle 2 units wide by 3 units high. A diagonal is drawn from the upper left to the lower right corner of the rectangle and labeled 'd'. \" width=\"108\" height=\"161\"></p></p>\n","choices":{"a":{"body":"<p><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACAAAAAWCAYAAAChWZ5EAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAALV/ZLFgAAAAFzUkdCAK7OHOkAAAAEZ0FNQQAAsY8L/GEFAAAA5klEQVRIS+2T2xEDIQhFLc+CKMdebMVOCC6SVVQk3/HMOJuYy11eCRXEjECP+nE4kOvTBEvCeIg5algAlAZOwRaY4TEkvydOCompfH08GhbFhOWHBJDUKSojoqRI37kYj+a5yLBunQV3LSJ5b+M8mrcSgGFOOmsNt7ZWMe7P3H5b8y5gNwJZGisJmW3oKtRxHs2WaU4KMddGww44NO1qhoP38xNz2W6hj/No2tXMMYHWSjMBh2ZrdBxB2x1zBA7N91/Qv2zVOg4azbRutWAeTZfEe9YdmauRF8jRv1c8msvlcvlXQvgAIbrg1dj0o20AAAAASUVORK5CYII=\" alt=\"5.66\"></span></p>\n","rationale":"<p>Start by finding the ratio of the diagonal length to the shortest side length.<p><img src=\"data:image/png;base64,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\" alt=\"The image is a rectangle 2 units wide by 3 units high. A diagonal is drawn from the upper left to the lower right corner of the rectangle and labeled 'd'. \" width=\"108\" height=\"161\"></p><p>Use the Pythagorean theorem to solve for length <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAAYCAYAAAAs7gcTAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAALNJREFUeNpjYCAMgoD4PxArEaGWoR2I3zEQCXYD8V50QRYgrgPiB0D8HYh3ArEs1NQuZIWMQLwaiN8CcT4Q20GtvwV1bziy4hQg/gPEpmi2HYQqVkUWvAPEy7G4dy4Qf4TaDAaKUN1RWBSD3L0fWcAWqtgBTaEAEH8D4l5kQQOo4nQ0xZOx2cgMxPeA+CUQRwKxMxDPAeJHUMXq6G7TA+JTQPwLqrECiJuA+DOy50bBKMAFAM9LJ9z+3bSPAAAAAElFTkSuQmCC\" alt=\"d\"></span>.</p><p><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"data:image/png;base64,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\" alt=\" table attributes columnalign right left end attributes row cell c squared end cell cell equals a squared plus b squared end cell row cell d squared end cell cell equals 3 squared plus 2 squared end cell row blank cell equals 13 end cell row cell square root of d squared end root end cell cell equals plus-or-minus square root of 13 end cell row d cell equals plus-or-minus square root of 13 end cell end table\"></span></p><p>The ratio of short side : long side : diagonal of the screen is <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"data:image/png;base64,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\" alt=\"2 colon 3 colon square root of 13\"></span>.</p><p>The ratio of the diagonal length to the shortest side length is <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"data:image/png;base64,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\" alt=\"square root of 13 colon 2\"></span>, set up a proportion to solve for the shortest side length. Use <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA4AAAAYCAYAAADKx8xXAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAAFzUkdCAK7OHOkAAAAEZ0FNQQAAsY8L/GEFAAAAnklEQVQ4T+1S0RGFMAjreAzEOOzCKt0kj4jts17Vfvll7jhAgaS0ZRWuBeHCBFbB+B6oBgknrD7E++85AIceCuH6zBjjYRLS1LPplF+imgzTM9fQcMuWEjm9Mz01EW26bX5hGURnW2lIhixOG2VRbj1vkh/d93VP7qkrEIvKizPm6/iz5b0VcEfMpxg32c658LyaTIa0pU1++PAWSvkB66zBvbIV6JYAAAAASUVORK5CYII=\" alt=\"ell\"></span> to represent the length of the shortest side of the display in centimeters.</p><p><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"data:image/png;base64,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\" alt=\" table attributes columnalign right left end attributes row cell begin display style fraction numerator ell   text cm end text over denominator 2 end fraction end style end cell cell equals begin display style fraction numerator 10.2   text cm end text over denominator square root of 13 end fraction end style end cell row cell ell   text cm end text end cell cell equals begin display style fraction numerator 10.2   text cm end text over denominator square root of 13 end fraction end style times 2 end cell row blank cell almost equal to 5.66   text cm end text end cell end table\"></span></p><p>The shortest side of the display is approximately <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"data:image/png;base64,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\" alt=\"5.66   text cm end text\"></span> long.</p></p>\n"},"b":{"body":"<p><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACAAAAAWCAYAAAChWZ5EAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAALV/ZLFgAAAAFzUkdCAK7OHOkAAAAEZ0FNQQAAsY8L/GEFAAAA9ElEQVRIS+1TwRHEIAhMeRZkOfZiK3bCQZCIKNG8z51hjIaFBfQSQEkQcKHP22KmdYkcFQcNaQMPclQ+AVIxPuIgZIAMEZeAnrT3wMkjeleeiUPgs5bU7jFZgRTGZCUF3LfgFiLSVnyLqt3zYmuf2vpJWxaQkb0KcHy64rgltOGK8P9tq/YTViPwims5HwEUSM2pKt8RwdWI8D7ZMO+K7lwEfL8DPN+uA0b4JwF2Th5ZsDPfvRE4gZYCnP/6fEek++aXI3gVXjuw8wwJTGrBJLgmymXTZ8MrmPBsp7zOPSLE5h1xqnnhEYTL5o/14ODg4B9xXT8q5wNGGsSO/QAAAABJRU5ErkJggg==\" alt=\"6.80\"></span></p>\n","rationale":"<p>Choice B is incorrect. May be the result of mistaking 10.2 cm for the length of the longest side.</p>\n"},"c":{"body":"<p><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACAAAAAWCAYAAAChWZ5EAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAALV/ZLFgAAAAFzUkdCAK7OHOkAAAAEZ0FNQQAAsY8L/GEFAAAA8ElEQVRIS+1U2xHDIAxjPAZiHHbJKtnENRgH8xAl18+iOy4XgmRbonWKKzjix7PCRem5DbojecC7ozfanuLdnZHigZibP9AV8uE3TegAPUf2a9FBm7hsQETeLK9LqGhaVkdd8Vy9bGVkR3wk7omgdbsNEMtEz/w46khjo+XD/i8RPNNMBtluIOHrRZnAxjdzErkrtUoNtbBxAGTXw8a0jHKiXRtYdlmJPYRXnUI6CdKELta03Fc5GbSR9QvzEkS7DIc6bw5tYKajd6SPcviFoZwsUSdG9wINMmgjZ9ucwJ/HZF/x6g5sunpwcHDwD3DuAzUc1MuNuqvrAAAAAElFTkSuQmCC\" alt=\"8.49\"></span></p>\n","rationale":"<p>Choice C is incorrect. This is the length of the longest side.</p>\n"},"d":{"body":"<p><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"data:image/png;base64,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\" alt=\"15.30\"></span></p>\n","rationale":"<p>Choice D is incorrect. May be the result of mistaking 10.2 cm for the length of the shortest side.</p>\n"}},"correct_choice":"a"}}]