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Giải bài 5 trang 52 sách bài tập toán 9 - Chân trời sáng tạo tập 1

Trong Hình 1, biết hai hình vuông có diện tích lần lượt là 108 cm2 và 96 cm2. Diện tích của hình chữ nhật ABCD là A. (48sqrt 3 ) cm2 B. (24sqrt 6 ) cm2 C. (72sqrt 2 ) cm2 D. 144 cm2

Tổng hợp Đề thi vào 10 có đáp án và lời giải

Toán - Văn - Anh
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Đề bài

Trong Hình 1, biết hai hình vuông có diện tích lần lượt là 108 cm2 và 96 cm2. Diện tích của hình chữ nhật ABCD là

A. \(48\sqrt 3 \) cm2

B. \(24\sqrt 6 \) cm2

C. \(72\sqrt 2 \) cm2

D. 144 cm2

Phương pháp giải - Xem chi tiết

Dựa vào: Diện tích hình vuông để suy ra cạnh hình chữ nhật. Sau đó tính diện tích hình chữ nhật.

Lời giải chi tiết

Diện tích hình vuông bằng 108 cm2ꦇ suy ra cạnh có độ dài là \(\sqrt {108}  = 6\sqrt 3 \)cm.

Diện tích hình vuông bằng  96 cm2 🌃suy ra cạnh có độ dài là \(\sqrt {96}  = 4\sqrt 6 \)cm.

Vậy diện tích hình chữ nhật là: \(6\sqrt 3 .4\sqrt 6  = 72\sqrt 2 \)cm2.

Chọn đáp án C.

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Tham Gia Group Dành Cho Lớp 9 - Ôn Thi Vào Lớp 10 Miễn Phí

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