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
=
Paper is in the form of a rectangle ABCD in which AB = 18 cm and BC = 14 cm. A semicircular position with BC as diameter is cut off. The area of the remaining paper is | |||
| Right Option : C | |||
| View Explanation | |||
The area of a regular hexagon of side 2a is __________________. | |||
| Right Option : C | |||
| View Explanation | |||
Find the area of the figure shown below
| |||
| Right Option : A | |||
| View Explanation | |||
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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...
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8thThird 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 ...
