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Lucie0912
@Lucie0912
May 2019
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Besoins d'aide svp math niveau seconde
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1) aire QMNP = aire ABCD - aire QPD - aire PCN - aire NBM - aire QMA
aire ABCD = 6 × 4 = 24
aire QPD = aire NMB = [x(6-x)] ÷ 2
= (6x - x²) ÷ 2
= 3x - x²/2
aire PCN = aire QMA = [x(4-x)] ÷ 2
= (4x - x²) ÷ 2
= 2x - x²/2
donc :
aire QMNP = 24 - [2×(3x-x²/2)] - [2×(2x-x²/2)]
= 24 - (6x - x²) - (4x - x²)
= 24 - 6x + x² - 4x + x²
= 2x² - 10x + 24
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Verified answer
1) aire QMNP = aire ABCD - aire QPD - aire PCN - aire NBM - aire QMAaire ABCD = 6 × 4 = 24
aire QPD = aire NMB = [x(6-x)] ÷ 2
= (6x - x²) ÷ 2
= 3x - x²/2
aire PCN = aire QMA = [x(4-x)] ÷ 2
= (4x - x²) ÷ 2
= 2x - x²/2
donc :
aire QMNP = 24 - [2×(3x-x²/2)] - [2×(2x-x²/2)]
= 24 - (6x - x²) - (4x - x²)
= 24 - 6x + x² - 4x + x²
= 2x² - 10x + 24