Geometry L Shape S: How To Find The Area Of An L, Researchgate

A compound shape is a shape that is made up from othersimple shapes. In this article we will be working out the area of a L shape(made up from 2 rectangles). To find the area of a compound shape, follow thesesimple steps:

Step 1: Work outthe missing lengths around the edge of the compound shape.

Step 2: Divideyour L shape into two rectangles. This can be done in 2 different ways (bothmethods will give the same answer).

Đang xem: Geometry l shape

Step 3: Work outthe area of each rectangle. Do this by multiplying the base of the rectangle bythe height of the rectangle.

Step 4: Add theareas of the rectangles together to give the total area of the L shape.

Example 1

Find the area of this compound shape (L shape).

*

Step 1

Work out the missing lengths around the edge of the compoundshape.

10 – 6 = 4 cm

9 – 2 = 7 cm

Step 2

Divide your L shape into two rectangles.

In this case I have put the line horizontal.

*

Step 3

Now you need to find the area of the 2 rectangles:

The area of rectangle A is 10 × 2  = 20cm²

The area of rectangle B is 4 × 7 = 28 cm²

Make sure you select the correct base and height lengths foreach rectangle.

Step 4

All you need to do now is to add up the 2 answers from step3.

20 + 28 = 48 cm².

So the total area of the compound shape is 48 cm².

Summary:

Find the missing lengths around your L shape and divide theshape into 2 rectangles. Find the area of both rectangle and add them up togive the total area of the compound shape.

Questions & Answers

Question: How do you know which sides to multiply on the L shape?

Answer: It must be the length and width of the rectangle (these are the two side lengths which make the rectangle).

Question: How do you find the area of a frame?

Answer: Work out the area of the inner and outer rectangles, and then find the difference between these area.

Assuming that the frame is rectangular.

Question: How do you know you have to put the line horizontal not vertical when finding the area of an L-shape?

See also  What Is Geometry Math And Geometry? Soft Question

Answer: You can split the compound shape up either way.

Both ways will result in the correct area.

Question: How do I find the perimeter of an L shape?

Answer: Once you have worked out all of the sides lengths, then you can add all these up to give the perimeter of the L shape.

Question: How do you work out the volume of a prism from calculating the area of an L shape?

Answer: Once you have calculated the cross-sectional area of the prism, multiply the answer by the length of the prism.

Xem thêm: Proverbs For Kids – 15 Powerful Youll Wish They Knew Sooner

So for example, if the cross-sectional area of the L shape was 50 cm^2 and the length 3cm, then the volume of the L shape would be 150 cm^3 (50 multiplied by 3).

Question: How do you know where to draw the line in order to have two rectangles?

Answer: It can be horizontal or vertical, as long as it makes two rectangles.

Question: How do you know which measurements you are meant to multiply to find the area of a complex shape?

Answer: You multiply the two side lengths of each rectangle together (Base multiplied by Height).

Question: What if I need to find the area of something that is not L-shaped?

Answer: Other shapes can be split into rectangles too. T and H shapes are also common exam questions.

Question: How do you know which numbers to add and which numbers to subtract when finding the area of an L-shape?

Answer: If the length your finding is longer than the two other sides then add them, if not subtract them.

Question: Is it only an L shape that can be used for compound shape?

Answer: No, it can be other shapes too, such as a T shape, or a H shape.

Question: How do you calculate perimeter?

Answer: The perimeter can be found by adding up all the side lengths around the L shape.

Question: How do you find the area if the shape has a half circle conected to it?

Answer: I think you mean a shape which can be split into a rectangle (or square) and a semi-circle.

See also  A B Geometry Words That Start With B Flashcards, Online Math Dictionary

Work out the area of the rectangle using length times width, and work out the area of the semi-circle using 0.5 times Pi times radius squared. Then add these two answers together.

Question: What does finding the area of the smaller shapes of an L shape help with?

Recommended for You

*

Hindu Funerals in Varanasi, India

*

The Witty and Wise Jane Austen: A Mini Biography

*

Prince John (1905-1919): The British Royal Who Most People Don't Know Existed

Answer: Area helps you work out the space inside a shape.

It can be useful in real life for working out how much carpet you need to fit a floor space, or how much gravel you need to fill a garden.

Comments

Adnan Alam on June 16, 2018:

thank you so much!! i appreciate!!!! luv u!!!!

vee on July 16, 2013:

thnx i got it nw

matt on July 05, 2013:

anyone know how calculate a 2 cm border around this?

Will the master of chess on June 19, 2013:

the teacher was not as good as this

hameed khan on June 06, 2013:

Good Process but long Process….

Xem thêm: R/Integral Factor Added – Sword Art Online: Integral Factor

man on May 02, 2013:

Cheers mate really helped

New new on April 23, 2013:

Thxx but I already knew how to do it I just need to see if I was rite but u did hlp with it so thx for dat bye

isabella on January 14, 2013:

THAN YOU!!!!!!!!!!!!!!!!!!!!!!!!!! Now I remember!!

shruti jain on June 06, 2012:

thank u but i didn't get the perimeter of L !! so if someone knows it plzz tell!!!

x.x.x.Tabz.x.x.x on June 05, 2012:

thx dat was a lot of help!!!

Princess Libyan on April 23, 2012:

Thanks God I've done this homework good with this help!!!

Thanks lots!! 😉

khaay on April 19, 2012:

Thamks a lot for your help ! ! doing my aims and i didn't know how to do this but now i do because of you ! : )

jessics on April 17, 2012:

thank you!!!

danny on March 27, 2012:

lots of help thanks 🙂

See also  Geometry 6Th Grade 6 » Geometry, 77 6Th Grade Geometry Ideas

BROWNGURL on March 05, 2012:

thes help a lot in my homework hu ever did thes web thakes a lot

adan on February 02, 2012:

awsum dude i appreciate it

margaret on January 31, 2012:

u r the beep in the whole universe

ninja girl on January 02, 2012:

very helpful

hmmm on December 28, 2011:

thanks i got 11 plus so that help's

queen on November 25, 2011:

thx for help did th job

princess on November 21, 2011:

lots of help for me !!!!!!!

miss bossy on November 15, 2011:

this is very good help i think

gogoluvr224 on April 04, 2011:

plenty help!

guy 1000 in a million on February 06, 2011:

lots of help

kool person on August 30, 2010:

YAY!!!!!!! LoTs Of HeLp!

cool on August 28, 2010:

good

sean on May 19, 2010:

wonderful thank u for the help

By
Mark
Related Articles

Humanities

2021 Free International Writing Entry Contests

Literature

Emily Dickinson”s “The Soul selects her own Society”

Literature

Emily Dickinson”s “Each Life Converges to some Centre”

Literature

Emily Dickinson”s “Like Brooms of Steel”

Literature

Emily Dickinson’s “I taste a liquor never brewed”

Literature

Emily Dickinson”s “Two Butterflies went out at Noon”

Literature

Emily Dickinson”s “It sifts from Leaden Sieves” and “I like to see it lap the Miles”

Literature

“The Time Traveler’s Wife”: A Captivating but Flawed Novel

Entomology

Stinging Caterpillars: A Quick and Easy Identification Guide

Entomology

North American Caterpillar Identification

Languages

34 Tagalog Slang Words for Everyday Use

Languages

What Is Language? The 5 Basic Elements of Language Defined

Visual Arts

Art and Environment: The Umbrella Project

Languages

Learning Baybayin: A Writing System From the Philippines

Theology

Calvinism, Arminianism, or Molinism? Balancing God”s Sovereignty and Humanity”s Free Will

Loading…
See More
© 2021 Maven Media Brands, LLC and respective content providers on this website. Other product and company names shown may be trademarks of their respective owners. Maven Media Brands, LLC and respective content providers to this website may receive compensation for some links to products and services on this website.
CLOSE
CLOSE
CLOSE
CLOSE

See more articles in category: Geometry

Leave a Reply

Back to top button