Question-185938

Question Number 185938 by Mingma last updated on 30/Jan/23

Answered by HeferH last updated on 30/Jan/23

L e t S b e t h e p i n k a r e a a n d l e t 5 k b e t h e a r e a

o f A B C .

S (\frac{3 k}{2} + S) = (k - S) (\frac{3 k}{2} - S)

S = \frac{3 k}{8}

\frac{P i n k}{A r e a o f A B C} = \frac{\frac{3 k}{8}}{5 k} = \frac{3}{40}

Commented by HeferH last updated on 30/Jan/23

Answered by mr W last updated on 30/Jan/23

Commented by mr W last updated on 30/Jan/23

D F = \frac{3}{5} \times D C = \frac{3}{5} \times B D

G E = \frac{3}{5} \times B G = \frac{3}{8} \times B E

[G D E] = \frac{3}{8} \times [B E D]

= \frac{3}{8} \times \frac{1}{2} \times [B E C]

= \frac{3}{8} \times \frac{1}{2} \times \frac{2}{5} \times [A B C]

= \frac{3}{40} \times [A B C] ✓

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