Question
Asked Sep 16, 2019
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Can you please help me step by step with this problem?

In the figure below, what is the area of the region formed
by the isosceles triangle and the three squares?
16 m
16 m
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In the figure below, what is the area of the region formed by the isosceles triangle and the three squares? 16 m 16 m

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Expert Answer

Step 1

Firstly, let us name the points as shown below:

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х/2 н G К х/2 16 m В С х NI М Е 16 m х

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Step 2

Now, calculating the ar...

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282 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

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Tagged in

Math

Calculus