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F.4 Maths

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A wire of length 60 am is cut into 2 parts. Each part is then bent to from a square. If the total area of the two squares is 117cm^2, find the perimeter of each square. 更新: Ans: 24cm, 36cm

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A wire of length 60 am is cut into 2 parts.Each part is then bent to from a square. If the total area of the two squares is 117cm^2, find the perimeter of eachsquare. Sol 設周長分別為4a,60-4a a^2+(15-a)^2=117 a^2+(a^2-30a+225)=117 2a^2-30a+108=0 a^2-15a+54=0 (a-6)(a-9)=0 a=6 or a=9 周長分別為24cm,36cm

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