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Giải Bài 8 trang 106 sách bài tập Toán 6 - Cánh diều

Nhà trường mở rộng một khu vườn có dạng hình vuông vê cả bốn phía, mỗi phía thêm 2 m, nên diện tích tăng thêm 80 m2 (Hình 8). Độ dài mỗi cạnh sau khi mở rộng là bao nhiêu mét?

ℱTổng hợp đề thi học kì 2 lớp 6 tất cả các môn - Cánh diều

Toán - Văn - Anh - Khoa học tự nhiên...
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Đề bài

Nhà trường mở rộng một khu vườn có dạng hình vuông về cả bốn phía, mỗi phía thêm 2 m, nên diện tích tăng thêm 80 m2🐼 (Hình 8). Độ dài mỗi cạnh sau khi mở rộng là bao nhiêu mét?

Phương pháp giải - Xem chi tiết

Gọi a là chiều dài cạnh của khu vườn Biểu diễn diện tích tăng thêm của khu vườn theo a Tìm a.

Lời giải chi tiết

Gọi a (m) là chiều dài cạnh của khu vườn ( a > 0 )Diện tích tăng thêm là tổng diện tích của 4 mảnh A,B,C,D. Mỗi mảnh là một hình chữ nhật có chiều dài a + 2 (cm), chiều rộng là 2 (cm). Do đó:Diện tích tăng thêm của khu vườn là 4. 2. (a+2). Theo đề bài ta có:4. 2. (a+2) = 808. (a+2) = 80a + 2 = 80 : 8a + 2 = 10a = 8 (Thỏa mãn)Vậy độ dài mỗi cạnh sau khi mở rộng là: a + 2 + 2 = 8 + 2 + 2 = 12 (m)

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Tham Gia Group Dành Cho Lớp 6 Chia Sẻ, Trao Đổi Tài Liệu Miễn Phí

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