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If twice the area of a smaller square is...

If twice the area of a smaller square is subtracted from the area of a larger square, the result is `14 c m^2dot` However, if twice the area of the larger square is added to three times the area of the smaller square, the result is 203 `c m^2` . Determine the sides of the square.

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Let the side of the smaller square = a cm
side of the larger square = b cm
twice the area of a smaller square is subtracted from the area of the larger square =14 cm²
b² - 2a² =14-----(1) ...
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