Calculating the Area of Compound H Shapes

Updated on April 28, 2018


A compound H-shape is made up of 3 rectangles. Make sure you can work out the area of an L-shape first before you attempt this one. If you are finding the area of a compound H-shape all you need to do is split the H-shape up into 3 rectangles and work out the area of each rectangle. Do this by multiplying together the side lengths of each rectangle. Once the area of each rectangle is found you can sum these up to give the total area of the H-shape. If some of the sides of the H-shape are missing then you need to work these out before you start calculating the areas of the 3 rectangles.

Example

Work out the area of this H-shaped polygon.


First divide the shape up into 3 rectangles. Label the rectangles 1,2 and 3 so the marker knows which areas you are calculating.

Also the width of the second rectangle is missing. This can be done by subtracting the 4m and 5m heights from the 12m height:

12 – 4 – 5 = 3 m

So the width of rectangle 2 is 3 m.


Now the area of rectangle 1 can be found by multiplying it’s two side lengths together. The length of rectangle 1 is 12m and the width is 4m:

Area of rectangle 1 = 12 × 4 = 48m²

Next, work out the area of rectangle 2 in a similar way. The length of rectangle 2 is 5m and the width is 3m:

Area of rectangle 2 = 5 × 3 = 15 m².

Finally work out the area of rectangle 3. The length of rectangle 3 is 12m and the width is 3m:

Area of rectangle 3 = 12 ×3 = 36 m².

Since you have now worked out the area of the 3 rectangles, the total area can be found by summing up these three answers:

48 + 15 + 36 = 99m².

Therefore, the total area of the H shape is 99 square metres.

If you are asked to work out the perimeter of the H-shape all you need to do is sum up all the side lengths. Just make sure all the lengths have been included in your total:

4 + 4 + 5 + 4 + 3 + 12 + 3 + 5 + 5 + 5 + 4 + 12 = 66m

So the perimeter of this H shape is 66m.

Make sure you look at my other math pages if you want more help on calculating areas of shapes.

Comments

Submit a Comment

  • MazioCreate profile image

    MazioCreate 6 years ago from Brisbane Queensland Australia

    Always find your tips useful. Good to have the memory jogged. Voted up!

  • catman3000 profile image
    Author

    Mark 6 years ago from England, UK

    Well spotted seanorjohn. Just corrected the mistake. Thanks.

  • seanorjohn profile image

    seanorjohn 6 years ago

    Hi Catman, you seem to have missed out 2 sides of the perimeter.4+4 +5 (+4) +3 +12 (+3) +5 +5 +5 +4 +12 =66m

working

This website uses cookies

As a user in the EEA, your approval is needed on a few things. To provide a better website experience, hubpages.com uses cookies (and other similar technologies) and may collect, process, and share personal data. Please choose which areas of our service you consent to our doing so.

For more information on managing or withdrawing consents and how we handle data, visit our Privacy Policy at: "https://owlcation.com/privacy-policy#gdpr"

Show Details
Necessary
HubPages Device IDThis is used to identify particular browsers or devices when the access the service, and is used for security reasons.
LoginThis is necessary to sign in to the HubPages Service.
Google RecaptchaThis is used to prevent bots and spam. (Privacy Policy)
AkismetThis is used to detect comment spam. (Privacy Policy)
HubPages Google AnalyticsThis is used to provide data on traffic to our website, all personally identifyable data is anonymized. (Privacy Policy)
HubPages Traffic PixelThis is used to collect data on traffic to articles and other pages on our site. Unless you are signed in to a HubPages account, all personally identifiable information is anonymized.
Amazon Web ServicesThis is used to collect data on traffic to articles and other pages on our site. Unless you are signed in to a HubPages account, all personally identifiable information is anonymized. (Privacy Policy)
CloudflareThis is used to quickly and efficiently deliver files such as javascript, cascading style sheets, images, and videos. (Privacy Policy)
Google Hosted LibrariesJavascript software libraries such as jQuery are loaded at endpoints on the googleapis.com or gstatic.com domains, for performance and efficiency reasons. (Privacy Policy)
Facebook LoginYou can use this to streamline signing up for, or signing in to your Hubpages account. No data is shared with Facebook unless you engage with this feature. (Privacy Policy)
PaypalThis is used for a registered author who enrolls in the HubPages Earnings program and requests to be paid via PayPal. No data is shared with Paypal unless you engage with this feature. (Privacy Policy)
Google AdSense Host APIThis service allows you to sign up for or associate a Google AdSense account with HubPages, so that you can earn money from ads on your articles. No data is shared unless you engage with this feature. (Privacy Policy)
Features
Google Custom SearchThis is feature allows you to search the site. (Privacy Policy)
Google MapsSome articles have Google Maps embedded in them. (Privacy Policy)
Google ChartsThis is used to display charts and graphs on articles and the author center. (Privacy Policy)
Google YouTubeSome articles have YouTube videos embedded in them. (Privacy Policy)
VimeoSome articles have Vimeo videos embedded in them. (Privacy Policy)
MavenThis supports the Maven widget and search functionality. (Privacy Policy)
Marketing
Google AdSenseThis is an ad network. (Privacy Policy)
Google DoubleClickGoogle provides ad serving technology and runs an ad network. (Privacy Policy)
Index ExchangeThis is an ad network. (Privacy Policy)
SovrnThis is an ad network. (Privacy Policy)
Facebook AdsThis is an ad network. (Privacy Policy)
Amazon Unified Ad MarketplaceThis is an ad network. (Privacy Policy)
AppNexusThis is an ad network. (Privacy Policy)
OpenxThis is an ad network. (Privacy Policy)
Rubicon ProjectThis is an ad network. (Privacy Policy)
TripleLiftThis is an ad network. (Privacy Policy)
Say MediaWe partner with Say Media to deliver ad campaigns on our sites. (Privacy Policy)
Remarketing PixelsWe may use remarketing pixels from advertising networks such as Google AdWords, Bing Ads, and Facebook in order to advertise the HubPages Service to people that have visited our sites.
Conversion Tracking PixelsWe may use conversion tracking pixels from advertising networks such as Google AdWords, Bing Ads, and Facebook in order to identify when an advertisements has successfully resulted in the desired action, such as signing up for the HubPages Service or publishing an article on the HubPages Service.
Statistics
Author Google AnalyticsThis is used to provide traffic data and reports to the authors of articles on the HubPages Service. (Privacy Policy)
ComscoreComScore is a media measurement and analytics company providing marketing data and analytics to enterprises, media and advertising agencies, and publishers. Non-consent will result in ComScore only processing obfuscated personal data. (Privacy Policy)
Amazon Tracking PixelSome articles display amazon products as part of the Amazon Affiliate program, this pixel provides traffic statistics for those products (Privacy Policy)