Math, asked by shaheerahussain005, 6 months ago

answer of this please help ​

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Answered by kitty3321
1

Answer:

23380 m²

Step-by-step explanation:

here in the given figre following shapes are there

  • triangleEDQ
  • trapaziumQPBD
  • trianglePBA
  • triangleARC
  • triangleECR

now area of the polygon = area of triangleEDQ+area of trapaziumQPBD+area of trianglePBA+area of triangleARC +area of triangle ECR

now we will go step by step

  • area of triangle EDQ

area of triangle =1/2*base *height

                          =1/2*100*100

                         =5000m²

  • area of trapazium QPBD

area of trapazium=1/2*[sumof parallel side]*height

                            =    1/2*[100+50]*110

                           =8250m²

  • area of triangle PBA [now we are direct evaluting the values as we know the formula]

area of triangle = 1/2*50*50

                          =1250 m²

  • area of triangle ARC

                       =1/2*120*[30+50+50]

                        =1/2*120*130

                        =7800 m²

  • area of triangle ERC

                        =1/2*120*[100+80]

                        =1/2*120*180

                        =1080 m²

now adding all the values as

        =5000+8250+1250+1080+7800

        =23380m²

∴the area of polygon is 23380 m²

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