Question

Diagram of the adjacent picture frame has outer
20 cm x 24 cm. Find the area of each section of the
frame, if the width of each section is same.​

Answer 1

Step-by-step explanation:

To find :

i) area of the big rectangle

ii) area of small rectangle

iii) area of 4 trapezium

solution :

i)  Area of the rectangle = L x B

                                        = 32 x 28

                                        = 896 cm²

ii) Area of the rectangle = L x B

                                       = 20 x 24

                                       = 480 cm²

iii) Area of 2 trapezium = 2 ((a + b / 2)h)

                                      =  (a + b ) h        (equation divided by 2)

                                      =  (20 + 28) x 4     (hence width are same 28-20/2=4

                                                                       so h = 4 for all cases )

                                      =  192 cm²

Area of other 2 trapezium = 2 ((a + b/2)h)

                                            = (a + b)h                 (again equation divided by 2)

                                            = (24 + 32) x 4  

                                            = 56 x 4

                                            = 224 cm²

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