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puteri [66]
3 years ago
6

In The figure below ABCD is a square points are chosen on each pair of the adjacent sides of ABCD to form four congruent and rig

ht angles as shown below each of these has one leg that is twice as long as the other leg what fraction of the area of square ABCD is shaded?​

Mathematics
2 answers:
aivan3 [116]3 years ago
7 0

9514 1404 393

Answer:

  5/9

Step-by-step explanation:

The area of one triangle is ...

  A = 1/2(x)(2x) = x²

Then the area of the four triangles is ...

  unshaded area = 4(x²)

The length of DC is 2x+x = 3x, so the area of ABCD is ...

  total area = (3x)² = 9x²

Then the fraction that is shaded is ...

  (9x² -4x²)/(9x²) = 5/9

5/9 of the area of ABCD is shaded.

grandymaker [24]3 years ago
7 0

Answer:

5/9 of the area is shaded.

Step-by-step explanation:

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lets try it
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