Squares

Geometry Level 3

The red square's perimeter is 44. The blue square's perimeter is 36. The yellow square's perimeter is 28. The green square's perimeter is 20. If the black area is n n , and the purple area is k k , then n = 2 k n=2k . Which of the following can be the grey area?

64 56 54 42 49

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Áron Bán-Szabó by Áron Bán-Szabó , 17, Hungary

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3 solutions

Sundar R
Sep 7, 2017

2 Helpful 0 Interesting 0 Brilliant 0 Confused
Ahmad Saad
Sep 6, 2017

2 Helpful 0 Interesting 0 Brilliant 0 Confused
Rab Gani
Sep 9, 2017

Let the black areas b, purple p, gray g, p + g = 9^2 + 5^2 = 106, b + g = 11^2 + 7^2 = 170, b – p = 64, k=64, g=42

1 Helpful 0 Interesting 0 Brilliant 0 Confused

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