Mathematics Question and Solution
Calculating Area Green Square.
Let x be the side length of the green square.
a = (100-x) m.
a is the side length of the orange square.
Calculating x.
x²+(100-x)² = 5018
x²+10000-200x+x² = 5018
2x²-200x+10000-5018 = 0
x²-100x+5000-2509 = 0
x²-100x+2491 = 0
(x-50)² = -2491+(-50)²
(x-50)² = 9
x-50 = ±√(9)
x = 50±3
Therefore;
x ≠ 50+3 ≠ 53 m.
x = 50-3 = 47 m.
Again, x is the side length of the green square.
It implies, area green square is;
x²
= 47²
= 2209 m²
