Measurement, NAPX-I3-NC30
Question
Ralph has a rectangular puppy playground in his backyard with an area of 10 m2.
He decides to make it bigger and increases each side to 3 times its current length.
What is the new area of the puppy playground?
Worked Solution
Area of original playground
|
| = l×w |
| = 10 m2 |
|
| = 3l×3w |
| = 9×l×w |
| = 9 × 10 |
| = {{{correctAnswer}}} |
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LzGWjfHye8+gkJ+P1xV3UpOh5jlEy1DCWgTRqj+B3qeYpfzkGTS6Ia8+WMrwPY03F/5nmZ0T2Hp56enVRa7wOdHLegJmiUQal0qL/HBNCBOkFOTJ2YGabjVvInxtFR7NMCSUb4OADxtNDCyy0qi+YiTdlG4ocTIunDlknNaExyVdQDyjikbY+74MhoHznT5dA+vSvLEA3O1atsf1BW0jtG1rK/3KGY60NdB2xCrixpdOVC6JfM0iLKh+taywyMhmxpZQZeNNySWH5YrLu6v2d6XWOmJ1D6oc1pDonbfpzRTKkcauo5pCJQf7GAGkmyiaySa51HImVdblWd+QXf9QTYNwVZOj9mb4hz/7XUwYJzkhrv9b1CIuTO3sfQSR11Ccxsskf4+xV4knjwV6xpZAdlHjYluolng0otHgGoPQPSkkCFS7CNITc+pfgzQGfRTqqs59MEnHbR5My2b3Rc8aiIqa8EvZo7uz7JYaCXEygU6fXj/e5PqsMoFxKlF9VW+fP7JpnNo9Ou+9nKxuVA2vii9WDeb215gqVwYQ5U/FySsRu2oZxwjccjwc+i/lY7LOY6d4XKlTbvYo+YDe6RyMUtrxmoqLKhUczzPlqhV29iwDU115FN7MjDQoNVgEn9fjtL1ykgbtGymrLZwBTGUskFDJ8YdatfguuElt+MNKGhtBE3quZvGm6Doov6+ePHyNXnlRKdF7on03+HFOX4/kP8FUu0XRF8vnMVgZr6cGNXxm2mXHoeXdc7yCNTb0vvyjUgVWtLTjfxETSe00KbxgM8yKJxHDkYe4kxj9IWZ4RwdloOzwc7vjE4TGsVF8T+WVGQrhqXxHSxpUV1Mbwmy6TMCji0Q6EwGpCDltPraf8PRa8FM18472uG/6826sQG57XYeT8kAHGTVSgW9fqHebbbHAH+k9GDnnnzFyAzMsz+lInI1ChjrADrGmEU+rHP9fNgJviS2Sx6Aa1RfI/dPJysACTCSV1NTSemZwMkAo4fzcdAooTGeiEPEMhoh++wsheoebNf1l1Bbm/VBdbMGU7WF/4bespAJt/ZUrDR2cTeCuaNFLAOI0ii6sDIoYqvmgSHltTRZe5tMeRWy1pp+XyCvub/KIrUi6aExcBjlriCWygKhMbtxjz5ChBcUZA9LyaZLfb8uXBveNwuLXYfda/IRFcUcEOO3HbekXhgL1p27P+COqjFN9pMouy3tkyN9gbcU+G4teoXuGsjRGzwZYgtzyJZ/OpeyD8tA1ft2Soi2vVj/IlexP8HINys8fz1d9h/1yz8tHaHge2Y/tT7u2l39+tKo9+Ab3pgbVzz4wXEjgVP0fDqMLDaLmO7SwtyfkDErn5wlbpiHAJwV51DkBdu4B7bwTldEA4EvOKZn1I3Yeio5jY5UgR756qTeujBO5pNbFPhDWUcFX1KYeZHdz1XKARzOHiu/zxwknHkocMZRLU743u9Sl6303dMIBkv9peBtRs4toUafJVxCAI1JsmquU29vJFKRuuQfSi+9jclKloJodr6IN3I/CQBJhDe46IcgKQ+Hw7rcgikK46vFweIQ3u88E/4tkuVrV1qAv/LQW4mC/nuPx9Jx4+sa3NXTKJKP5ZYfY2imNEnJ3dS3lv5hAHfRp4BfC7Ws9Yo1KCB7GVOjZngaH+U4MwuzHiPLFS8T58inJWzY65isTEP6jPeKIU6VuDU4DTsUdTvTCJeNdNhV43j64ZpFzlbvWhsg6OWnkx/srTnAn+ZvKmepXJk93tvj1xtHOHGhF9YgVu77wg2ppEO5LpAcn9yL5mljKm905ssdyh9T6tyXExJp/cp5Mz3XDGj75/xgfcJ3R8Dry5LjsGUhh7lrXwXY3JiWLIQaLsToz8JQcOYuEf7a7gD7KKGJFCC8KKRaCtU2hOfcfoPC66Cjfakp56UDmom5qqjJc4rLnWaArfruIo7az7H5xC/TT8KRbJC+vECwXMieWvcBIg/1xRwGtBNhlUKY6Yyf2duLt+vuMacvIf/AQwgiI51w722luyXvCEgTXuJK6fDAKZ+DUKTx5sATAvq0tqM2BdLLMouWjCLFyQUUY1u7SQRoCyl/mNSX5twf7rtp0oEIv8eSf8oqQq4i/aa2BW1puGqf03+ZXmJ4cxqoDnUB3Et+pfh4CPjzs8XKwATIIJrD1tl0/QVq0xV49Dup943Abb+gSsvfmO1+N7MWgkl7Log2uiGk9a75+lD6io6WpbjGLwssLGkGkTqSm1tk7f1BMFe8IsUHrIl9Nrq8QRyg3zy91hWi4H/mDErvo+KrQkl2YGSKmul6UDcOqkaVqheD12p57mdKmNU5edojDyiWtW3TYom9nvHRfSznlkM+gQzvlZ/PULMvQS1DlJthwthOOrufnU9mx5geAjQqfhk6SXJfQqcKTwC+CGLDw2WP4uTNWwcN0GYoZ1+rXKZntyPAxCOQEtR2741cfkvJbsu0P/4+v2V+Vpxar12QBJqVcRhBFJi39iNfv+G1+8jbe7GZqj51CxW3ErAOnUQlNksSuvl2QnLmSYifU3o5zPSvS8tO4dcgO3nJA5/VWwgz0h1TZNGTOXAWSOPC6+/Bf591nwaeyTcWRpCNyySmmnq9haTfvsmp4lx72nLsy5yTOWfxO2SfYNjLVpAGdleP8IuHQzW2DuX8/4JUYv/rZLjD/8igyWMvlESi0RcIogLy+N3yOUTZu4mENvOXTyxnsqYbeTiTeKVZ9lwwxOf31FlerpSjUsgXmWqJKp9ROzmYNTZ77SyA5pheRd+sY0YSJ+aycz8FmpLwFnYJ/AnCQgl2XvOltcj10/CsrroPz9nPb12vh0AqOugUv7ea1igrnopAgD/lSerl1VJwCgpOho6vdfI3cPt1jGsYpRNlKea9MP+1wocT0kgufuRY7/kiTJB0MPTOjq2Cm4CQmxnTSVCnvrm9CNqTq8xSscDw94V5DaKjFzSLi6bRWuNRLoeV4UPOl3T43bfJKg/PZsjwANZAAjVpYKISwIbj03ITnzUrphc5oZDbypSFMEJXNFExLv58D27/B+ORa66YZX5XtqHOUUjkHrwFC4T8QXDVyJjQk5ns7h4bfqaegXROIw0pEFzmQpgzzqPNwUguH1ZVrhqhfIxr+NRhD1GkeWOMT5ZzYCFddS+MXZn3xsThTnTgOCC/r9EVkw6pAWtXGB/NVgVGMgtZMQCUr0oRDQkb2ohTz+11xvjtCaVUygmeNEisx0sJaoMe8T2+UVADDgBQqXL2jR84bpRIVVVMPhgNeUSR/OHwkHymUWQjdrkPkrjmQEv/M5pBrTn9/SsUEmWj3RYA2lXQpOVQhww36eMqDDuC7K/yZB9NwxtvvotgooqkGddvxgEcH9H/dK7eS3hhfOqayK0qMpb0kR+m+NN40qdU5WLFKf1X5INcdExnQ3UGD8AKQWO12VXTu4Tf6xQ15dZCHOV3bRB3TpCE7xL3h0WoYELfS6e9k9XhTWYcFh1I+UD87qO8BNqKHOyrbglvrbbADcWOqpSTzCK4VzIXZgrU+yNo68CChvZuSE+NvuB1or4I3w14zY+5EQznm5NqfiC06xN87pLR1mj24R9wcdBDGjQQFZrid00oSo0ewnYDdhcfJSlNfLkG33hjekztKoKerZD6x0JENnXyOS9o7i04gk9nB+oyKmq/9e9dDfs22fKUGZyY+cOXMqvht0PPYL2gNkiFMXdHjrw/qB+jvvsnsTwHT8dFxeEGcC3R1US4TyTqAjGC/Lfrv5/LvGphXfze+Rr3pCnQ6yHJq+KzV9rHTWldKvkKf4DNNFoj3+FZv+bDBYzVXINxA6puB1Ufpp95N28TsOk2PfkJqXG16V0ttCtfyYN0Vt67M4Bqu2syJeANEkSLMJmOKTMlw/m+Rbc0kLLNMGKrRtLJq/JYsbSN76rK+VYAQ+xOXKj1al7eH9WmjWdGI/DKEjDiOYuWr1/vddTUsORi0usB4tEl3iOFyUKA0XAeDtxsjn9LeL8Et5Q7CLv1j7UJLPh2XRFL9AvHMy0IgxNH8wy0jOjEKTHEmSDIxkVxfqC0PWEs+2gdpBNoOlMtZqPoHXOTmZUKsdZpKmJdLhj7CC/xekMWgruojZVzqinjGggWQ3rMROSjFYLvluVjNk+74nzeJo+76CCqb9h4665zGcTCgoksz+nuxK0u+ld85oWbiZz1eg3MppuTUcTaSqol/YGjzpC0ODhkVJ6gpdbJm9HyyHCDvsftKlY+13FT1mXjdCRbF3KtACwDeDRNihjFW//YAX+X1/u50PI1cQwRObB8zOqSB9Rzv+FEogcTTTA+bxfzz8rvR+J6ir4bM/NTmzXbcs5+cgJIvV/GMPrUi59YiKELdaANaeFizj7X9+3q5FhVzXtoqvuyIPAXJO4/w/WG1PHh9iDazPvk87z4JySELcOLGO2QLXPALMSzloTiKhXQKvnYKS8BwpBjbYvh22Jz9v6reMUCBtnUSP+ZEVvINAkHhWlOLd2ZbuMnzMUF3M4K7yVybMI8w74Wk6OimlrEI1WnzEfGsToA6zf5fP5zlwgVljWK5AdvTslsdtpYyBvRMk6w8KiwNqN3MHsU3Z3uEW+gJVMDM4y+mWWo7ZDGRviGnaoYsNZ+NGvbdECHyUqgeDVrxqHIZw3nItZuaQj3H0gB1ONuxEA1k7IRnZSp+VGBNSv8akx4BxlaOwo1Wi2PQyb/7J5MAfaI+7jj41lE/RZ+nN0PKgTJ2ZkZe0x4RW73WIzjLbamykdl5S+fUTthkod+ECLvTofa0V3l5kxQFygLUHNnFAbuzBWaTj1KZN8yGQwYPSXb8XVLQsqdzS9/RwhgCdYXcC5PNDp9UeYIOuX1OQ5yS6T3iEJL9La+Q3Kys8c2EhTl2hbuGnmbtb3J6JciZV2cXeiO4dj+zBJ/n2JGff7uWKoizTIiA6V8I9O/ccMo3bvK2LcgwfVs8mJZ90xWv4oMqGf3XwJRuyS1wv3GQw3FA4xuy096jItoVF9rQfQKLLt4BjUy1wcWntBp75E+oBT987lgqLyKMEUw4YLQObaa7optTH2SVGJj7L6ZmcW8TfnqAuCnzNeoBAWEwBgDOs7qvq7bSlE1kJOdjRMD/pOUozrvs2+Ua/k5EDT6yKw++SXt6J0JyZfe2hVaHx5Un1CNmPHXoHFNL0FDdMuYQmzhDrkz0wH1JK0GaZAhrUCMS5nVPCcO8a4YHr8g91URCT8WWW8askLq1wyiwbBRf3o1TkCK9CpbjfYn/xvNwMGMKv7/9VGPDWhB6Bd9yBuTYAYIDpwx6uAwVoRzXrWFXuwWdVnUsqTsP1zjzoNDstawYRU0Bcyw2MfD4mipNiwNHoYqbeZ4E35yP6TOuAtypt4SV50xHTnjeHfSvVmGXQX1n8PO19+9KboKfu7A0r4uHgqGm2r9FImbxmKV82DzHiG7yQiKkFDag1RUKFDn/6pfSOOFAV0rjAuCb8OWiaep+Jx5YH1VTHRo5CEJqIr8cyFkgKJZuf4tjoatv6T0/NhipXzOrXN2aAILkJ3FuVzj+WusHwb2ATYCJLu0KQZ47SWdPy6nDNv6CnTgU4NOJlntq88M6R32v44DvyrS42PtZHsM3hH4OBSyykYRPdtt6Fvltz+uq2RU8egHb5Zi4Cx5N51c+APOkXtY+/xixJ5092LLgpnKEKAb05653KF6kO+UeonnEkXLbLnLJk/1XQrhEXqsNbWIZnOSvn6G2xWX4iTPi6PRnyX2h22uygEGGAJgJYCRFFfa6Xqo4jGlgqLBVyYikKV0QXye6y7KY1u2SOfbkxx6FKfmjJ2xu1Sk8myAbXWJgS1kj6qchcPzO5cIAlWWLaOkqEQ3b4AS/fdj3C4/u2yzSxeWornhJKo39P3Q1ALwPWLslNHZ9cVA7LaxbHD3QBaeDS9iERFtT/vxpP5TNOQMjIw3lbTkNzJfTqi+0+Gqif757AhFEN1L6IIBDFHZrJyV385sG0Ndqpe/gIXYyP06AGDj3cxVBGfNrh7ipRlDNzfvdJNaqReMCGPuOgeH3yN8W1s6An5ikQb3JSiU2/GqQr2JejDP0dBgBfLhYOp9hydtBxOpinBLkCxix4iiUNcvlyTaEsJmLnNsO/CnBNTrWNgId6ACmeCjnM8bhXEWnsErWOZMlIu0cL3Oto86EsCizfotls8PjpYrPlYUSdZmxxTydD0xjt30DVvVIvKvEMTPa3W5cuHtbGOF9v6hym7GRsobTvNoafixPyssa2gvfv8GFOAP0ytlWp7CjKpaNSij6+wzl2W4E3jgaLNNgCXUj+dFsgBEqVN1G2m6FHeFsnelTcjy8Qv7xEBZsyoJPQR9EzMuS7Y/qM6bgKcaVBiYwXVdu+UP2TeoYd0S8NL62Krmout9EmePgLXVcb8imvwiXpjAzvvc4oF75+jhfMWdBtJYDd2+lpQ56W8A8NGYZEpFxuOYsnDdUglEnmxNyXliK+UkcxDMSFDHnPahHx51+y9cEaX/LT6flWSY/cuotRQ6y09DSJ/d/prZ3RgywL8ZEvKr8ZS92twaz2F3iaSB5duquY4Im0RKbPnw/decbqYpqw9myk+RP8gZsKTYiKslTzMr20773DlIs9v6BfC3A+IDMP0pUP4j8u75xuQt/28QedBbM+vcVtARr6KdotGRNRz9qYk+Y2mrzjC2/qrMChiBXsM9p23wF84GGmpSC2JHe42p1EycIUcsVcyuQNATwZ4VGFneR6SCmN5QhxsnmQkD6XTtuSEpWCK+baIEdxdDGRI3R6u80FH/vakDVvO0jBmcY2hCKPA4Uvhh/epSVEBURkZPhcyHu2a55QpUs6Fr4QfsVvFB5oDMR0JPtskS3Saqi+5JQx38+garooD4ZrHgsAtDsqqASM2Q64qR2E3JEWwH1nXYfThCnC0kMHssc78yrQgvA4DevzPItyPlfrj77p3PIZp3M3F3GU/C7uTNZpcYuNgZp5OcQT8vwGjMEVY7f6DyxUhcM7HcOYwgFNffVtUNhjBLDbGWwmJzcIe1MTMc+RxWuDiaKx05fr1w2ixbKjoeLgZ+Kb6nm7kCuyxV3pAejJSARPy4HBkJrKk1Lg0m9zEq5v8EjV+ccVjcA7/YdgfuP/MgSFGPegCitjrcoSyZ/Kt7TX9Q0WWmRK0JL7yDyaBcnvD6kn1XoEesNnysUKdNCgVEmeDqoHOABdH/1OJ9XL0pPHbQqMqEwMCaWpVcUMrkKXDb1c4YS8BhR/kjFLr1Q5yPB1/YlKHDKK9Y7LpIz5/fQyRSWPg7zsmkNQwD8VRBIFXlntU2CRrsBJRoT/Nja+gGjW4uZcCiDV77nRJAbVcE8NoeY0M7mrSl7rSpZ4B9gRLJ62qdEIWjdxIHsqrNmb+jRc8E+0u+up+Mn0b50zloSq/TE7qfVifOd/RVZio55QEHs+MIXarMAP0rU7J1X8Xbu+L6xwoA+8sl+QNXLZ69fe5hkS69yGqCflKeIRbGzURKNNhmDQTIQOz6NqIv6TDaiVPuoUqK+0v2j7cjektt7z4UQMZ7f63TUPTrQ7mti0aVxN74iaidcOG9XeygHTojRogr+FXvBgyWLa2b6N1wuV6tzQbx6rK66twfK32hy/FH+nrhwZixFXQtgsglSVItbNh9R/uID7uNBReW/ybEzMUX1W1aDMOZjY/YhihcYeC4/FMjLCdis3d4NGJgSPMLwYaNYGvjmtds+KKtb736RY3Q1YLZ5muSy8DZFHeFftTMJksZ4YT+n/mYzcz4Nsvu365e1nNffYaY3CnaG4BnRUrnDxCb/6HFya3r3Mx4NQhamrO7s51tA9mQI9MQDE6ghNHNh0IzD3KDZbpiN+fqrVqiOZdjFwel2kQJus0k2cWHGdZrYahMqQcST31TOlFRej/rUpFP9FJvn1f4rJEhNz6s58ZscCrX92ca0tmMjdu1AJcxI+sJRVp/e10GgOYTXxWcPIe6wV9uSQHSBQObtTK42LEPHfG+lUA131U4l2kksNOkOjt07+Uy7Lux1XU9k2JBSjSp472NzOL0Emrs0l+kCKhd9NiocuwR0NgaHV7k8VRC145iw1fzmWKkJoR9v1qQuBKhn5UtaOu8B04JZ4U4B7ZRFyXoCH/mravroQ62pVbF8IirFpPeZQIS0RECJYCJxzP06cFDbWit/rqlO7NHTSpGmYfNkmq41CYte5LGdA58/DJhevtTfuy2cbnPVME3agknzedNv/7dzGlCWfaQeI95xfASGDwiaIuNHNTGee38J2UZx4uIR0glGwv2wC28zyHpulLrXRcPdmoILJ+TwkCyhr9KTUWMyMIeDpjeFFqNeYUif43rTNwBA3ET4CnvGq4JQyRz2pkaUUsSyPSkIg6APmoab9nyvwlBSyP2GNlZd66KLn1wqknQcZSK/DrLTZEIWKoTgUFvfj1Q+qCIj+mZcJNjFd9TZGfyDRRrUQFZhKrF7zHwUddkXkXfKNqk/I4ZZzyKFwDBmgEDCx5H8knEFpQ3rc4bzNZrF7FvGpHWBtv4kxbsbuEJqel1eFEfQ7TjO7k+PX9jsSB2zB53PMTjXPbuSBV+4XtRShX4wFg4BynpBj9XrymXcL/gPIog4vV+mw/kzAEnME8WsTQsn+sZpR9sNkrCSo7CiMN6hAbH0VghWViITIFEVgK2U6Nqnx39h6yccaWwNBS7nCOcn0LLu7nzUoHMBGbMtxZ42Nn0vozhL2z70AaE1yXPFOUL4f/ugLHqDZq9ltlFjrutBmeWbLauuYwwQLY/fs0fEJb224PZ3RXh1uVKefcWkdBZFwAn8Fc1BbSPudVdN7CpmXsAKQgQ5W1+8G0uqIi/dvtjVlEL25lavSyoZKAOsApZnVVpCN5+CS5+Y6y4I+QvD6sAk/gZxYPoF7ivLRsIxLNkk4NL8f4wf8YO1HyBEEq8jHih2buVwFJOMNneAFHvtdbz0mT5K7qLUnmu9973WygvB5BnIEjf16IqACZpMVGKiIorhA3CM0BpCw4fZa7A8JcCKfWWR38KHBMozbY17pZlZxfXXPUcpGq0GumqsDLaLlI6npJwPAArlApuo+Vh5lZnM85zPofnL+9Fajjbaa2CqHyR7NUYSyOtnPPFO/JW6LVpHPWCyJxOvVNYlcbnWX0ygLFV4U8R1O/hAeJYVo9xlZgBzg62xjjMTvUhx0t58T+JlNPLdWZaCfB5QYmnatK+8b2IwYQrBIAdoIycWGJjGzGjg4iQyP0FOuEnUw35mlR6sxGrYZLgZq/gQtqlPSCFRUbIMXIQWnS4zX+yDAcxtRru/UPFxcwFkNWWU/2GJ8HvObjqYYVKMnOOBmOJmN2GLu6EYi+RO3YmJ24z4S3zaJF1ePHQ5Ba2hnSP6FKR4RoCCisJQlOtDTdiJ43dk2OaXN5K7dVKtwfrJTo1VSF842RQJV3MQOqRPlCL6liolg+JJmMuVToSpqhCoAOoC1pTfcz7ELuuu6GCH2s4cFNlo1MRfOygpW7xqB+EEmMLYbfVgn+Oz+jNgnKB6nR+/c4tzeNfTD8ANiIRfXZk2RURKj5AhWaMGJczbhR8rENnLc/9wviMUxZ09IUtbXduATtPWN82NRDrPe43PyZu0P3E5x3ZR2WRlJiBwvb5pqcxxzYAoMQiqc2CfpQtfq1pBidpSvWNSd5RNvnJ+jXuly46fPOfGQVT4
Variant 0
DifficultyLevel
679
Question
Ralph has a rectangular puppy playground in his backyard with an area of 10 m2.
He decides to make it bigger and increases each side to 3 times its current length.
What is the new area of the puppy playground?
Worked Solution
Area of original playground
|
| = l×w |
| = 10 m2 |
|
| = 3l×3w |
| = 9×l×w |
| = 9 × 10 |
| = 90 m2 |
Question Type
Multiple Choice (One Answer)
Variables
| Variable name | Variable value |
| correctAnswer | |
Answers