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               \ 12-Oct-2025  Bharat Arora   Proof-9                                Reader’s Sign _______________________ Date __________







                      Mind Map                                                                              Creative Thinking
                  math
                                                     Perimeter And AreA


                              Perimeter and Area                                  Area of Composite Figures

               rectangle:
                                       l                                                     I

                              b                                                              II

               Perimeter of a rectangle = 2 (length + breadth) units                         III
               Area of a rectangle = (length × breadth) sq. units
                                                                         Area of complete figure = Area of rectangle (I)
               Square:
                                       s                                                      + Area of rectangle (II)
                                                                                              + Area of rectangle (III)
                                 s
                                                                                   Area of irregular Shapes

               Perimeter of a square = 4 × side units                                                     1
               Area of a square = (side × side) sq. units             Area of an irregular closed figure = (m + n +   p) sq. units,
                                                                                                          2
                                                                      where
               triangle:                                               m = full squares
                                                                       n = more than half squares
                                                                       p = half squares



               Perimeter of a triangle = sum of its three sides units
               Perimeter of an equilateral triangle = (3 × side) units
                                1
               Area of a triangle =   × Area of a square or  rectangle sq.
                                2                   units





                 www
                     MAths connect                                                                          Cross-Curricular Learning

                 In construction  and  engineering,  both
                 commercial and residential buildings are                           209 m            75 m
                 constructed using the idea of a perimeter
                 and area. It makes it easier to distinguish              28 m  1 m  Front
                 between  the  geometrical  features  of                      1 m    Door  6 m          100 m
                 buildings before and after construction.                         310 m
                                                                                     2 m
                 Observe the building map and answer the following questions.

                 1.  What is the perimeter of the building?
                 2.  What is the area of the roof of the building?
                 3.  What is the area of the front door?
                 4.  What is the area of a window?
                 5.  What is the area enclosed by the compound?



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