{"id":644069,"date":"2023-06-26T15:45:10","date_gmt":"2023-06-26T10:15:10","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/find-the-area-of-the-triangle-formed-by-the-lines-yxx6-and-y0\/"},"modified":"2025-06-26T12:47:49","modified_gmt":"2025-06-26T07:17:49","slug":"find-the-area-of-the-triangle-formed-by-the-lines-yxx6-and-y0","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/mathematics\/find-the-area-of-the-triangle-formed-by-the-lines-yxx6an\/","title":{"rendered":"Find the area of the triangle formed by the lines y=x,x=6\u00a0and y=0."},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Find the area of the triangle formed by the lines y=x,x=6\u00a0and y=0.","custom_permalink":"question\/mathematics\/find-the-area-of-the-triangle-formed-by-the-lines-yxx6an\/"},"categories":[],"acf":{"question":"

Find the area of the triangle formed by the lines <\/span>y<\/mi>=<\/mo>x<\/mi>,<\/mo>x<\/mi>=<\/mo>6<\/mn> and y<\/mi>=<\/mo>0<\/mn><\/math>.<\/span><\/p>

<\/p>

<\/p><\/spanstyle=\"-aw-import:ignore\"><\/pstyle=\"margin-top:0pt;margin-bottom:0pt\"><\/spanstyle=\"-aw-import:ignore\"><\/pstyle=\"margin-top:0pt;margin-bottom:0pt\">","options":[{"option":"15 square units","correct":false},{"option":"16 square units","correct":false},{"option":"18 square units","correct":true},{"option":"20 square units <\/span>","correct":false}],"solution":"The given lines <\/span>y<\/mi>=<\/mo>x<\/mi>,<\/mo>x<\/mi>=<\/mo>6<\/mn> and y<\/mi>=<\/mo>0<\/mn><\/math>.<\/span>
Plot the graph of the line <\/span>y<\/mi>=<\/mo>x<\/mi><\/math> using the table below:<\/span>
\"\"So, the coordinates of the line equation <\/span>y<\/mi>=<\/mo>x<\/mi><\/math> are <\/span>0<\/mn>,<\/mo>0<\/mn><\/mrow><\/mfenced><\/math> and <\/span>1<\/mn>,<\/mo>1<\/mn><\/mrow><\/mfenced><\/math>. <\/span>
Plot the graph of the line <\/span>x<\/mi>=<\/mo>6<\/mn><\/math> using the table below:<\/span>
\"\"So, the coordinates of the line equation <\/span>x<\/mi>=<\/mo>6<\/mn><\/math> are <\/span>6<\/mn>,<\/mo>0<\/mn><\/mrow><\/mfenced><\/math> and <\/span>6<\/mn>,<\/mo>1<\/mn><\/mrow><\/mfenced><\/math>. <\/span>
Plot the graph of the line <\/span>y<\/mi>=<\/mo>0<\/mn><\/math> which is the x-axis.<\/span>
The graph of the lines is represented as,<\/span>
\"\"From the graph,<\/span>
Height of the triangle <\/span>=<\/mo>6<\/mn> units<\/mi><\/math>
Base of the triangle <\/span>=<\/mo>6<\/mn> units<\/mi><\/math>
The area of the triangle,<\/span>
A<\/mi>=<\/mo>1<\/mn><\/mrow>2<\/mn><\/mrow><\/mfrac>\u00d7<\/mo>B<\/mi>\u00d7<\/mo>H<\/mi><\/math> <\/span>\u21d2<\/mo>A<\/mi>=<\/mo>1<\/mn><\/mrow>2<\/mn><\/mrow><\/mfrac>\u00d7<\/mo>6<\/mn>\u00d7<\/mo>6<\/mn><\/math> <\/span>\u21d2<\/mo>A<\/mi>=<\/mo>36<\/mn><\/mrow>2<\/mn><\/mrow><\/mfrac><\/math> <\/span>\u21d2<\/mo>A<\/mi>=<\/mo>18<\/mn><\/math> square units<\/span>
Therefore, the area of the triangle formed by the lines <\/span>y<\/mi>=<\/mo>x<\/mi>,<\/mo>x<\/mi>=<\/mo>6<\/mn> and y<\/mi>=<\/mo>0<\/mn><\/math> is 18 square units.<\/span>
Hence, option 3 is correct.<\/span>
 <\/span>","subject":"Mathematics"},"yoast_head":"\nFind the area of the triangle formed by the lines y=x,x=6\u00a0and y=0. - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"Find the area of the triangle formed by the lines y=x,x=6\u00a0and y=0.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infinitylearn.com\/surge\/question\/mathematics\/find-the-area-of-the-triangle-formed-by-the-lines-yxx6an\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Find the area of the triangle formed by the lines y=x,x=6\u00a0and y=0. - Infinity Learn by Sri Chaitanya\" \/>\n<meta property=\"og:description\" content=\"Find the area of the triangle formed by the lines y=x,x=6\u00a0and y=0.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/infinitylearn.com\/surge\/question\/mathematics\/find-the-area-of-the-triangle-formed-by-the-lines-yxx6an\/\" \/>\n<meta property=\"og:site_name\" content=\"Infinity Learn by Sri Chaitanya\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/\" \/>\n<meta property=\"article:modified_time\" content=\"2025-06-26T07:17:49+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2025\/04\/infinitylearn.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"1920\" \/>\n\t<meta property=\"og:image:height\" content=\"1008\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:site\" content=\"@InfinityLearn_\" \/>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Find the area of the triangle formed by the lines y=x,x=6\u00a0and y=0. - Infinity Learn by Sri Chaitanya","description":"Find the area of the triangle formed by the lines y=x,x=6\u00a0and y=0.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/infinitylearn.com\/surge\/question\/mathematics\/find-the-area-of-the-triangle-formed-by-the-lines-yxx6an\/","og_locale":"en_US","og_type":"article","og_title":"Find the area of the triangle formed by the lines y=x,x=6\u00a0and y=0. - Infinity Learn by Sri Chaitanya","og_description":"Find the area of the triangle formed by the lines y=x,x=6\u00a0and y=0.","og_url":"https:\/\/infinitylearn.com\/surge\/question\/mathematics\/find-the-area-of-the-triangle-formed-by-the-lines-yxx6an\/","og_site_name":"Infinity Learn by Sri Chaitanya","article_publisher":"https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/","article_modified_time":"2025-06-26T07:17:49+00:00","og_image":[{"width":1920,"height":1008,"url":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2025\/04\/infinitylearn.jpg","type":"image\/jpeg"}],"twitter_card":"summary_large_image","twitter_site":"@InfinityLearn_","schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Organization","@id":"https:\/\/infinitylearn.com\/surge\/#organization","name":"Infinity Learn","url":"https:\/\/infinitylearn.com\/surge\/","sameAs":["https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/","https:\/\/www.instagram.com\/infinitylearn_by_srichaitanya\/","https:\/\/www.linkedin.com\/company\/infinity-learn-by-sri-chaitanya\/","https:\/\/www.youtube.com\/c\/InfinityLearnEdu","https:\/\/twitter.com\/InfinityLearn_"],"logo":{"@type":"ImageObject","@id":"https:\/\/infinitylearn.com\/surge\/#logo","inLanguage":"en-US","url":"","contentUrl":"","caption":"Infinity Learn"},"image":{"@id":"https:\/\/infinitylearn.com\/surge\/#logo"}},{"@type":"WebSite","@id":"https:\/\/infinitylearn.com\/surge\/#website","url":"https:\/\/infinitylearn.com\/surge\/","name":"Infinity Learn by Sri Chaitanya","description":"Surge","publisher":{"@id":"https:\/\/infinitylearn.com\/surge\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/infinitylearn.com\/surge\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"WebPage","@id":"https:\/\/infinitylearn.com\/surge\/question\/mathematics\/find-the-area-of-the-triangle-formed-by-the-lines-yxx6an\/#webpage","url":"https:\/\/infinitylearn.com\/surge\/question\/mathematics\/find-the-area-of-the-triangle-formed-by-the-lines-yxx6an\/","name":"Find the area of the triangle formed by the lines y=x,x=6\u00a0and y=0. - Infinity Learn by Sri Chaitanya","isPartOf":{"@id":"https:\/\/infinitylearn.com\/surge\/#website"},"datePublished":"2023-06-26T10:15:10+00:00","dateModified":"2025-06-26T07:17:49+00:00","description":"Find the area of the triangle formed by the lines y=x,x=6\u00a0and y=0.","breadcrumb":{"@id":"https:\/\/infinitylearn.com\/surge\/question\/mathematics\/find-the-area-of-the-triangle-formed-by-the-lines-yxx6an\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/infinitylearn.com\/surge\/question\/mathematics\/find-the-area-of-the-triangle-formed-by-the-lines-yxx6an\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/infinitylearn.com\/surge\/question\/mathematics\/find-the-area-of-the-triangle-formed-by-the-lines-yxx6an\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/infinitylearn.com\/surge\/"},{"@type":"ListItem","position":2,"name":"Find the area of the triangle formed by the lines y=x,x=6\u00a0and y=0."}]}]}},"_links":{"self":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/questions\/644069"}],"collection":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/questions"}],"about":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/types\/questions"}],"author":[{"embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/users\/1"}],"wp:attachment":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/media?parent=644069"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/categories?post=644069"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}