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Giải Bài 4.24 trang 72 sách bài tập Toán 6 Kết nối tri thức với cuộc sống

Tính chu vi và diện tích của mảnh vườn có hình dạng và kích thước như Hình 4.20.

🎃Tổng hợp đề thi học kì 2 lớp 6 tất cả các môn - Kết nối tri thức

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

💯Tính chu vi và diện tích của mảnh vườn có hình dạng và kích thước như Hình 4.20.

Phương pháp giải - Xem chi tiết

🎐Chia hình thành các hình đặc biệt đã biết công thức tính diện tích

Lời giải chi tiết

Cách 1:

🐼Ta có thể chia mảnh vườn thành hai hình gồm 1 hình vuông cạnh bằng 6m và 1 hình chữ nhật như sau:

Diện tích hình vuông BGFA là:

6. 6 = 36 (m2)

Chiều rộng hình chữ nhật CDEG là:

6 – 4 = 2 (m)

Diện tích hình chữ nhật CDEG là:

4. 2 = 8 (m2)

Diện tích mảnh vườn là:

36 + 8 = 44 (m2)

Chu vi của mảnh vườn là:

8 + 6 + 6 + 4 + 2 + 2 = 28 (m)

Vậy chu vi và diện tích của mảnh vườn lần lượt là 28 m và 44 m2.

🥀Cách 2: Ta có thể kẻ thêm để được hình chữ nhật có độ dài 2 cạnh là 6 m và 8 m

Độ dài cạnh EF là:

6 – 4 = 2 (m)

Độ dài cạnh DE là:

8 – 6 = 2 (m)

Diện tích hình vuông EDGF là:

2. 2 = 4 (m2)

Diện tích hình chữ nhật ABCG là:

6.8 = 48 (m2 )

Diện tích của mảnh vườn là:

48 – 4 = 44 (m2)

ꦐChu vi của mảnh vườn cũng chính bằng chu vi hình chữ nhật ABCG và là:

2.(8+6) = 28 (m)

Vậy chu vi và diện tích của mảnh vườn lần lượt là 28 m và 44 m2.

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