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Giải bài 1.20 trang 13 SGK Toán 8 - Cùng khám phá

Chu vi hình thang trong Hình 1.6 là
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Đề bài

Chu vi hình thang trong Hình 1.6 là \(8x + 6y\). Tính độ dài cạnh còn lại của hình thang theo \(x\)và \(y\).

Phương pháp giải - Xem chi tiết

Chu vi hình thang là tổng độ dài bốn cạnh của hình thang. Tính độ dài cạnh còn lại của hình thang  bằng cách lấy chu vi trừ đi độ dài ba cạnh đã biết. Viết biểu thức biểu diễn độ dài cạnh còn lại của hình thang. Rút gọn biểu thức đó.

Lời giải chi tiết

Độ dài cạnh còn lại của hình thang là:\(\begin{array}{l}8x + 6y - \left( {x + y} \right) - \left( {2x + y} \right) - \left( {2x + y} \right) = 8x + 6y - x - y - 2x - y - 2x - y\\ = \left( {8x - x - 2x - 2x} \right) + \left( {6y - y - y - y} \right) = 3x + 3y\end{array}\)Vậy độ dài cạnh còn lại của hình thang là \(3x + 3y\)

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