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https://drive.google.com/file/d/1XnjA5qnxP-hD3qZF3XbtDwP4kW2-c9ne/view?usp=drivesdk

 

Fidn the area of rectangle first.

 Apr 20, 2021
 #1
avatar+275 
+1

So this is the question I suppose

 

Shaded area A - 48= shaded area B

Area of △GHI = 1/2 *10 * 24

                       = 120 cm

 

Total area of figure = Area△GHI + Shaded area B

                                     = 120 + Shaded area A - 48

                                     = Shaded area A + 72                                                    ...(1)

 

i.e. from figure, 

Total area of figure = Shaded area A + Area of rectangle EFGH                        ...(2)

 

From (1) and (2) we infer that 

Area of rectangle EFGH = 72 cm

 

⇒  72 = EH * HG 

⇒ 72 = EH * 24 

⇒ EH = 3 cm 

 

Perimeter of EFGH = 2( 3 + 24)

                                     = 2 x 27 

                                     = 54 cm 

 

                                  

 Apr 20, 2021
edited by amygdaleon305  Apr 20, 2021

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