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If twice the area of a smaller square is subtracted from the area of a largersquare is equal io 14cm However, twice the area of the larger square isadded to 3 times the area of the smaller square the result is 203cmDetermine the sides of the two squares. |
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Answer» 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 cm²b² - 2a² =14-----(1)twice the area of the larger square is add to three times the area of the smaller square =203 cm² 2b² + 3a²=203---(2) multiply (1) with 2 and subtract it from (2)2b²+3a²=2032b²-4a²= 14____________7a²=175 a²= 175/7a²=25a = 5 cm substitute a =5 in (1)b²-2a²=14b²-2*5²=14b²-50=14b²=14+50b²=64b=8 cmlarger square side = b =8cmsmaller square side = a = 5 cm |
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