Area of Composite Figure
Area of Composite Figure
A figure (or shape) that can be divided into more than one of the basic figures is said to be a composite figure (or shape). The area of a composite figure is calculated by dividing the composite figure into basic figures and then using the relevant area formula for each basic figure.
Illustration: Find the area of the following composite figure:
Solution: The figure can be divided into a rectangle and triangle as shown:
So, the area of the composite figure is
Illustration: Find the area of the shaded region.
Solution:
Given: Side of the outer square = 10 cm
Area of outer square = Side X Side
= 10 X 10
= 100 sq cm
Given: Side of the square which lies in the interior of above diagram = 1 cm
Area of the square which lies in the interior of the above diagram = Side X Side
= 1 X 1
= 4 sq cm
As 4 squares lie in the interior region, Hence the sum of the area of all the 4 squares = 4 + 4 + 4 + 4
= 16 sq cm
Now, area of shaded region = Area of the outer square - Area of 4 interior squares
= 100 - 4
= 96 sq cm
Illustration: A floor is 5 m long and 4 m wide. A square carpet of sides 3 m is laid on the floor. Find the area of the floor that is not carpeted.
Solution: Area of the rectangular floor = length X breadth
= 5 X 4
=
and the area of square carpet = side X side
= 3 X 3
=
The area of the floor that is not carpeted = Area of the rectangular floor - area of square carpet
= (20 - 9) sq m
=
Find the area of the figure shown below
| |||
| Right Option : A | |||
| View Explanation | |||
Find the area of the shaded region in the following figure
| |||
| Right Option : D | |||
| View Explanation | |||
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The area of a square of side 8 cm is the same as that of a rectangle of length 32 cm. What is the breadth of the rectangle? | |||
| Right Option : B | |||
| View Explanation | |||
Students / Parents Reviews [20]
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10thThe experience was nice. I studied here for three years and saw a tremendous change in myself. I started liking subjects like English and SST which earlier I ran from. Extra knowledge gave me confidence to overcome competitive exams. One of the best institutes for secondary education.
Aman Kumar Shrivastava
10thA marvelous experience with Abhyas. I am glad to share that my ward has achieved more than enough at the Ambala ABHYAS centre. Years have passed on and more and more he has gained. May the centre flourish and develop day by day by the grace of God.
Archit Segal
7thAbhyas is an institute of high repute. Yogansh has taken admission last year. It creates abilities in child to prepare for competitive exams. Students are motivated by living prizes on basis of performance in Abhyas exams. He is satisfied with institute.
Yogansh Nyasi
7thThird consective year,my ward is in Abhyas with nice experience of admin and transport support.Educational standard of the institute recumbent at satisfactory level. One thing would live to bring in notice that last year study books was distributed after half of the session was over,though study ...
Ayan Ghosh
8thWe started with lot of hope that Abhyas will help in better understnding of complex topics of highers classes. we are not disappointed with the progress our child has made after attending Abhyas. Though need to mention that we expected a lot more. On a scale of 1-10, we would give may be 7.
Manya
8thIn terms of methodology I want to say that institute provides expert guidence and results oriented monitering supplements by requsite study material along with regular tests which help the students to improve their education skills.The techniques of providing education helps the students to asses...
Aman Kumar Shrivastava
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Shivam Rana
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Upmanyu Sharma
7thWhen I have not joined Abhyas Academy, my skills of solving maths problems were not clear. But, after joining it, my skills have been developed and my concepts of science and SST are very well. I also came to know about other subjects such as vedic maths and reasoning.
Sharandeep Singh
7thI have spent a wonderful time in Abhyas academy. It has made my reasoning more apt, English more stronger and Maths an interesting subject for me. It has given me a habbit of self studying
Yatharthi Sharma
10thAbhyas institute is one of the best coaching institute in the vicinity of Ambala Cantt area. The teachers of the institute are well experienced and very helpful in solving the problems of the students.The good thing of the institute is that it is providing extra classes for the students who are w...
Aman Kumar Shrivastava
10thAbhyas Methodology is very good. It is based on according to student and each child manages accordingly to its properly. Methodology has improved the abilities of students to shine them in future.
Manish Kumar
10thOne of the best institutes to develope a child interest in studies.Provides SST and English knowledge also unlike other institutes. Teachers are co operative and friendly online tests andPPT develope practical knowledge also.
Aman Kumar Shrivastava
10thMy experience with Abhyas academy is very nice or it can be said wonderful. I have been studying here from seven class. I have been completing my journey of three years. I am tinking that I should join Abhyas Academy in tenth class as I am seeing much improvement in Maths and English
Hridey Preet
9thAbhyas is good institution and a innovative institute also. It is a good platform of beginners.Due to Abhyas,he has got knoweledge about reasoning and confidence.My son has improved his vocabulary because of Abhyas.Teacher have very friendly atmosphere also.
Manish Kumar
10thIt was good as the experience because as we had come here we had been improved in a such envirnment created here.Extra is taught which is beneficial for future.
Eshan Arora
8thUsually we see institutes offering objective based learning which usually causes a lag behind in subjective examinations which is the pattern followed by schools. I think it is really a work of planning to make us students grab the advantages of modes of examination, Objective Subjective and Onli...
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8thMy experience was very good with Abhyas academy. I am studying here from 6th class and I am satisfied by its results in my life. I improved a lot here ahead of school syllabus.
