{"id":952,"date":"2018-12-29T16:00:40","date_gmt":"2018-12-29T15:00:40","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=952"},"modified":"2024-02-15T07:55:42","modified_gmt":"2024-02-15T06:55:42","slug":"how-to-calculate-and-solve-for-the-area-length-and-height-of-a-trapezium-the-calculator-encyclopedia","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2018\/12\/29\/how-to-calculate-and-solve-for-the-area-length-and-height-of-a-trapezium-the-calculator-encyclopedia\/","title":{"rendered":"How to Calculate and Solve for the Area, Length and Height of a Trapezium | The Calculator Encyclopedia"},"content":{"rendered":"

\"\"<\/p>\n

The image above is a Trapezium. To calculate the area of a trapezium, three essential parameter is needed and they are the length of the top side (a), length of the bottom side (b) and the height of the trapezium (h).<\/p>\n

The formula for calculating the area of a trapezium is;<\/p>\n

A<\/b>\u00a0= 0.5[a + b]h<\/p>\n

Where;
\nA = Area of a trapezium
\na = length of the top side of the trapezium
\nb = length of the bottom side of the trapezium
\nh = height of the trapezium<\/p>\n

Let’s solve an example;
\nFind the area of a trapezium where length of top side (a) is 7 cm, length of bottom side (b) is 12 cm and height of trapezium (h) is 10 cm.<\/p>\n

This implies that;
\na = Length of top side of the trapezium = 7 cm
\nb = Length of bottom side of the trapezium = 12 cm
\nh = Height of the trapezium = 10 cm<\/p>\n

A<\/b>\u00a0= 0.5[a + b]h
\nA<\/b> = 0.5[7 + 12]10
\nSo, A<\/b> = 0.5[19]10
\nA<\/b> = 95<\/p>\n

Therefore, the area of a trapezium<\/strong> is 95 cm2<\/sup><\/strong><\/p>\n

How to Calculate the Height of a Trapezium when the Area, Length of top side and Length of bottom side of the Trapezium is given.<\/strong><\/h3>\n

The formula is h = A<\/sup> \/ 0.5(a + b)<\/sub><\/p>\n

Where;
\nA = Area of the trapezium
\na = Length of the top side of the trapezium
\nb = Length of the bottom side of the trapezium<\/p>\n

Let’s solve for an example;
\nGiven that the length of top side (a) is 10 cm, length of bottom side (b) is 14 cm and the area of the trapezium is 20 cm2<\/sup> Find the height of the trapezium?<\/p>\n

This implies that;<\/p>\n

A = Area of the trapezium = 20 cm2<\/sup>
\na = Length of top side of the trapezium = 10 cm
\nb = Length of bottom side of the trapezium = 14 cm<\/p>\n

h = A<\/sup> \/ 0.5(a + b)<\/sub>
\nh = 20<\/sup> \/ 0.5(10 + 14)<\/sub>
\nThat is, h = 20<\/sup> \/ 0.5(24)<\/sub>
\nh = 20<\/sup> \/ 12<\/sub>
\nh = 1.667<\/p>\n

Therefore, the height of the trapezium<\/strong> is 1.667 cm.<\/strong><\/p>\n

<\/p>\n

How to Calculate the Length of top side of a Trapezium when the Area of the trapezium, Length of bottom side of the Trapezium and the height of the trapezium is given.<\/strong><\/h3>\n

a = 2A<\/sup> \/ h<\/sub> – b<\/p>\n

where;<\/p>\n

A = Area of the trapezium
\nb = Length of the bottom side of the trapezium
\nh = Height of the trapezium<\/p>\n

Let’s solve an example;
\nFind the length of top side of a trapezium when the height of the trapezium is 14 cm, length of bottom side of the trapezium is 16 cm and area of the trapezium is 240 cm2<\/sup><\/p>\n

This implies that;<\/p>\n

h = Height of the trapezium = 14 cm
\nb = Length of bottom side of the trapezium = 16 cm
\nA = Area of the trapezium = 240 cm2<\/sup><\/p>\n

a = 2A<\/sup> \/ h<\/sub> – b
\nSo, a = 2(240)<\/sup> \/ 14<\/sub> – 16
\nThat is, a = 480<\/sup> \/ 14<\/sub> – 16
\na = 34.26<\/sup> – 16
\na = 18.256<\/p>\n

Therefore, the length of top side of the trapezium<\/strong> is 18.256 cm.<\/strong><\/p>\n

How to Calculate the Length of bottom side of a Trapezium when the Area of the trapezium, Length of top side of the Trapezium and the height of the trapezium is given.<\/strong><\/h3>\n

b = 2A<\/sup> \/ h<\/sub> – a<\/p>\n

where;<\/p>\n

A = Area of the trapezium
\na = Length of the top side of the trapezium
\nh = Height of the trapezium<\/p>\n

Let’s solve an example;
\nFind the length of the bottom side of a trapezium when length of the top side of the trapezium is 20 cm, height of the trapezium is 25 cm and area of the trapezium is 300 cm2<\/sup><\/p>\n

This implies that;
\na = Length of top side of the trapezium = 20 cm
\nh = height of the trapezium = 25 cm
\nA = Area of the trapezium = 300 cm2<\/sup><\/p>\n

b = 2A<\/sup> \/ h<\/sub> – a
\nb = 2(300)<\/sup> \/ 25<\/sub> – 20
\nThen, b = 600<\/sup> \/ 25<\/sub> – 20
\nb = 24 – 20
\nb = 4<\/p>\n

Therefore, the length of bottom side of the trapezium<\/strong> is 4 cm.<\/strong><\/p>\n

How to Calculate and Solve for the Area, Length and Height of a Trapezium Using Nickzom Calculator<\/h3>\n

Nickzom Calculator \u2013\u00a0The Calculator Encyclopedia<\/strong>\u00a0is capable of calculating the area of a trapezium.<\/p>\n

To get the answer and workings of the area of a trapezium using the\u00a0Nickzom Calculator \u2013 The Calculator Encyclopedia.\u00a0<\/strong>First, you need to obtain the app.<\/p>\n

You can get this app via any of these means:<\/p>\n

Web<\/strong>\u00a0\u2013\u00a0https:\/\/www.nickzom.org\/calculator-plus<\/a><\/p>\n

To get access to the\u00a0professional\u00a0<\/strong>version via web, you need to\u00a0register<\/strong>\u00a0and\u00a0subscribe\u00a0<\/strong>for\u00a0NGN 1,500\u00a0<\/strong>per\u00a0annum<\/strong>\u00a0to have utter access to all functionalities.
\nYou can also try the\u00a0demo\u00a0<\/strong>version via\u00a0https:\/\/www.nickzom.org\/calculator<\/a><\/p>\n

Android (Paid)<\/strong>\u00a0\u2013\u00a0https:\/\/play.google.com\/store\/apps\/details?id=org.nickzom.nickzomcalculator<\/a>
\nAndroid (Free)<\/strong>\u00a0\u2013\u00a0https:\/\/play.google.com\/store\/apps\/details?id=com.nickzom.nickzomcalculator<\/a>
\nApple (Paid)<\/strong>\u00a0\u2013\u00a0https:\/\/itunes.apple.com\/us\/app\/nickzom-calculator\/id1331162702?mt=8<\/a><\/p>\n

Once, you have obtained the calculator encyclopedia app, proceed to the\u00a0Calculator Map,\u00a0<\/strong>then click on\u00a0Mensuration<\/strong>\u00a0<\/strong>under the\u00a0Mathematics<\/strong>\u00a0section<\/p>\n

\"How<\/p>\n

Now, click on\u00a0Area of a trapezium<\/strong>\u00a0under\u00a0Mensuration<\/strong><\/p>\n

\"How<\/p>\n

The screenshot below displays the page or activity to enter your value, to get the answer\u00a0according to the respective parameters which is the length of top side of the trapezium, length of bottom side of the trapezium and height of the trapezium<\/p>\n

\"How<\/p>\n

Now, enter the values appropriately and accordingly for the parameters as required by the\u00a0example<\/strong>\u00a0above where the length of the top side of the trapezium is 7 cm, length of the bottom side of the trapezium is 12 cm and height of the trapezium is 10 cm<\/p>\n

\"\"<\/p>\n

Finally, click on\u00a0Calculate<\/strong><\/p>\n

\"\"<\/p>\n

\"\"<\/p>\n

As you can see from the screenshot above,\u00a0Nickzom Calculator<\/strong>\u00a0\u2013 The Calculator Encyclopedia solves for the area of a trapezium and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above is a Trapezium. To calculate the area of a trapezium, three essential parameter is needed…","protected":false},"author":5,"featured_media":12474,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_opengraph-title":"","_yoast_wpseo_opengraph-description":"","_yoast_wpseo_twitter-title":"","_yoast_wpseo_twitter-description":"","_lmt_disableupdate":"","_lmt_disable":"","_sitemap_exclude":false,"_sitemap_priority":"","_sitemap_frequency":"","_yoast_wpseo_focuskw_text_input":"","csco_display_header_overlay":false,"csco_singular_sidebar":"","csco_page_header_type":"","footnotes":""},"categories":[4],"tags":[246,363,84,318,364,169,365,56,349,87,307,308],"class_list":["post-952","post","type-post","status-publish","format-standard","has-post-thumbnail","category-mathematics","tag-area","tag-area-of-a-trapezium","tag-calculator-encyclopedia","tag-height","tag-height-of-a-trapezium","tag-length","tag-length-of-a-trapezium","tag-mathematics","tag-mensuration","tag-nickzom-calculator","tag-trapezium","tag-trapezoid","cs-entry"],"yoast_head":"\nHow 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