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According to the figure above, AE² = CF² ⇒ AD² - DE² = CD² - DF² ⇒ 3² - x² = 4² - (5 - x)² ⇒ 9 - x² = 16 - (25 + x² - 10x) ⇒ 10x = 18 ⇒ x = 1.8 AE² = AD² - DE² ⇒ AE² = 3² - 1.8² = 9 - 3.24 = 5.76 ⇒ AE = 2.4 Ratio of area of rectangle ABCD to AEFC = (4 * 3):(5 * 2.4) = 1:1
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