Question

calculate the area enclosed by the given shapes of the measurement in centimetre

Answer 1

Answer:

46 sq. units and 46 sq. units

Step-by-step explanation:

Answer 2

( i ) Area = 46 $cm^{2}$      

( ii ) Area = 46 $cm^{2}$.

Given

To find the area enclosed for the given shapes.

( i ) Finding area for the first diagram :

     Assigning name for the figure as shown in the attachment.

     First extend BC to A

     Where,    AC = 3 + 2 = 5 cm

                     FA = 5 + 4 = 9 cm

                     FE = 7 cm

     Area of trapezium = 1/2 × (base + base) × height

                                    = 1/2 × (FE + AC) × FA

                                    = 1/2 × (7 + 5) × 9

                                    = 6 × 9 = 54 $cm^2$

     Area of trapezium, ACEF = 54 $cm^2$.

     Area of rectangle = width × length

     Area of rectangle, GDBA = 2 × 4

                                                = 8 $cm^2$

     Hence, Area = Area of trapezium ACEF - Area of rectangle

                           = 54 - 8

                   Area = 46 $cm^2$.

( ii ) Finding area for the second diagram :

      Assigning name for the figure as shown in the attachment.

      Area of square = side × side

      Area of ADFI = side × side

                             = 9 × 9

                             = 81 $cm^{2}$

      Area of ΔHOG = 1/2 × HG × OH

                               = 1/2 × 5 × 7

                               = 35/2

                               = 17.5 $cm^{2}$

      Area of  ΔBCE = 1/2 × 5 × 4 = 17.5 $cm^{2}$

      Hence,     Area = 81 - 17.5 - 17.5

                                = 81 - 35      

                         Area = 46 $cm^{2}$                              

To learn more...

1. brainly.in/question/2388960

2. brainly.in/question/2358696