# In the figure below, what is the area of the region formedby the isosceles triangle and the three squares?16 m16 m

Question
1 views help_outlineImage TranscriptioncloseIn the figure below, what is the area of the region formed by the isosceles triangle and the three squares? 16 m 16 m fullscreen
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Step 1

Firstly, let us name the points as shown below: help_outlineImage Transcriptioncloseх/2 н G К х/2 16 m В С х NI М Е 16 m х fullscreen
Step 2

Now, calculating the ar... help_outlineImage Transcriptionclose282 64m2 Area of the square BCEF basex height Area of the isosceles triangle ABC 2 ВСх AD 2 = 2 2 -16m2 Also triangle KBA is congruent to triangle DBA Thus, area of the right angle triangle KBA = area of the right angle triangle DBA -half of the area of the isosceles triangle ABC = 8m2 Therefore, area of the square ABGI 4 x area of the right angle triangle KBA =32m2 Similarly area of the square ACHJ = 32m2 fullscreen

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### Calculus 