// Numbas version: exam_results_page_options
{"name": "Merryn's copy of Rectangle Area and Perimeter Challenge problems", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Merryn's copy of Rectangle Area and Perimeter Challenge problems", "tags": [], "metadata": {"description": "<p>Area and Perimeter of Rectangles</p>\n<p>rebelmaths</p>", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "<p>Give answers correct to <strong>2 decimal places</strong></p>", "advice": "<p><strong>(a)</strong></p>\n<p>Area&nbsp;= width $\\times$ length&nbsp;</p>\n<p>width = $\\frac{\\text{area}}{\\text{length} } =\\frac{\\var{area1}}{\\var{h1} } = \\var{w1}$</p>\n<p>Perimeter = $2 \\times$ width&nbsp;$+ 2 \\times$ length$ =2 \\times \\var{w1} + 2 \\times&nbsp;\\var{h1} = \\var{p1}$m</p>\n<p><strong>(b)</strong></p>\n<p>Perimeter = $2 \\times$ width&nbsp;$+ 2 \\times$ length</p>\n<p>Therefore;</p>\n<p>width = $\\frac{\\text{perimeter} -&nbsp;2 \\times \\text{length}}{2}$</p>\n<p>width = $\\frac{(\\var{p} -&nbsp;2 \\times \\var{h})}{2} = \\var{w}$m</p>\n<p></p>\n<p>Formula for area&nbsp;of rectangle:</p>\n<p>Area&nbsp;= width $\\times$ length = $\\var{w} \\times&nbsp;\\var{h} = \\var{a}$m$^2$</p>\n<p></p>\n<p></p>\n<p></p>\n<p></p>", "rulesets": {}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"h1": {"name": "h1", "group": "Ungrouped variables", "definition": "random(20..26 except h)", "description": "", "templateType": "anything", "can_override": false}, "p1": {"name": "p1", "group": "Ungrouped variables", "definition": "2*h1+2*w1", "description": "", "templateType": "anything", "can_override": false}, "x": {"name": "x", "group": "Ungrouped variables", "definition": "\"x\"", "description": "", "templateType": "anything", "can_override": false}, 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"w", "h", "x", "a", "p1", "w1", "h1", "area1"], "variable_groups": [], "functions": {"rectangle": {"parameters": [["h", "number"], ["w", "number"]], "type": "html", "language": "javascript", "definition": "\n\n      var c = document.createElement('canvas');\n        $(c).attr('width',w+400).attr('height',h+400);\n        var context = c.getContext('2d');\n        \n        //fill in rectangle with a light shade\n        context.fillStyle = '#eee';\n        context.fillRect(50,50,w*10,h*10);\n        \n        //draw outline\n        context.strokeStyle = '#000';\n        context.lineWidth = 3;\n        context.strokeRect(50,50,w*10,h*10);\n        \n        //draw labels\n        context.fillStyle = '#000';\n        context.font = '20px sans-serif';\n        var wstring = 'x'+'m';\n        var tw = context.measureText(wstring).width;\n//        console.log(tw);\n        context.fillText(wstring,60,38);\n        \n        var hstring = h+'m';\n        var hw = context.measureText(hstring).width;\n        context.save();\n        context.translate(30,200);\n        context.rotate(-Math.PI/2);\n        context.fillText(hstring,0,0);\n        \n        return c;\n      "}}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>{rectangle(h1,w1)}</p>\n<p>A rectangle has an area of $\\var{area1}$m$^2$ and a length of&nbsp;$\\var{h1}$m.&nbsp;Calculate its width and then its perimeter.</p>\n<p>Width =&nbsp;[[0]]m</p>\n<p>Perimeter =&nbsp;[[1]]m</p>\n<p></p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, 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If the length is $\\var{h}$m, first calculate its width and then its area.&nbsp;</p>\n<p>Width =&nbsp;[[0]]m</p>\n<p>Area =&nbsp;[[1]]m$^2$</p>", "stepsPenalty": 0, "steps": [{"type": "information", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Write down a formula for the perimeter. 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