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In the figure below, ABDC, EFHG, and ASHY are all squares; AB=1, EF=1, and AY=5.

What is the area of quadrilateral DYES?

In the figure below, ABDC, EFHG, and ASHY are all squares; AB=1, EF=1, and AY=5. What-example-1
User WowBow
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2 Answers

1 vote

Answer:

15 square units

Explanation:

its correct, trust me

User Hilnius
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3 votes

Answer:

  • 15 unit²

Explanation:

ASHY is the square with the side of 5.

DYES is the rhombus since all sides are same and diagonals are perpendicular.

The area of the rhombus is the difference of the area of the big square and the sum of small squares and triangles:

  • A = 5² - (2*1² + 4*(1/2*1*4)) = 25 - (2 + 8) = 25 - 10 = 15
User Andrea Moro
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