: Chu vi một mảnh đất hình chữ nhật là 280m . Người ta chia mảnh đất thành hai mảnh nhỏ: một
hình vuông, một hình chữ nhật. Tổng chu vi hai mảnh đất nhỏ là 390 . Tính diện tích mảnh đất ban
đầu ?
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![](https://rs.olm.vn/images/avt/0.png?1311)
TK
Hay thu nhin , thi ta thấy :khí công chu vi có 2 lần ta lấy 2 lần cr của hình chữ nhật ( hãy gọi là cạnh hình vuông )
Chiều rộng của nó là :
( 390 : 2 ) - (280 : 2 ) = 55 ( m)
Chiều dài của nó là :
280 : 2 - 55 = 85 ( m )
Diện k thửa ruộng ý là :
85 x 55 = 4675 ( m2 )
Đáp số : 4675 m2
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài giải
Chiều rộng của mảnh đất hình chữ nhật nhỏ là:
28:2=14(m)
Chiều dài của mảnh đất hình chữ nhật nhỏ và cũng là chiều rộng của mảnh đất ban đầu là:
224: 14 =16(m)
Chiều dài của mảnh đất ban đầu là:
16 + 14 = 30(m)
Diện tích mảnh đất ban đầu là:
30 x 16 = 480(m2)
Đáp số: 480m2.
![](https://rs.olm.vn/images/avt/0.png?1311)
Nửa chu vi hình ABCD hơn nửa chu vi hình AMND là :
28 : 2 = 14 ( m )
Nửa chu vi hình ABCD là AD + AB
Nửa chu vi hình AMND là AD + AM
Chiều rộng BC của hình ABCD là :
224 : 14 = 16 ( m )
Chiều dài AB của hình ABCD là :
16 + 14 = 30 ( m )
Diện tích hình ABCD là :
30 x 16 = 480 ( m2 )
Đáp số : 480 m2
![](https://rs.olm.vn/images/avt/0.png?1311)
(Bạn tự vẽ hình nha, điền tên các điểm theo thứ tự rồi làm như sau:)
Nửa chu vi hình ABCD hơn nửa chu vi hình AMND là :
28 : 2 = 14 (m).
Nửa chu vi hình ABCD bằng AD + AB.
Nửa chu vi hình AMND bằng AD + AM.
Do đó : MB = AB - AM = 14 (m).
Chiều rộng BC của hình ABCD là :
224 : 14 = 16 (m)
Chiều dài AB của hình ABCD là :
16 + 14 = 30 (m)
Diện tích hình ABCD là :
30 x 16 = 480 (m2).
Đáp số: 480 m2
Lời giải:
Chia HCN như trong hình vẽ. Chiều dài và chiều rộng hcn ban đầu lần lượt là $a$ và $b$ (m). Theo bài ra ta có:
$a+b=280:2=140(1)$
Tổng chu vi 2 mảnh đất nhỏ là:
$4b+2[b+(a-b)]=390$
$\Rightarrow a+2b=195(2)$
Từ $(1);(2)\Rightarrow b=195-140=55$ (m)
$a=140-b=140-55=85$ (m)
Diện tích mảnh đất ban đầu: $S=ab=85.55=4675$ (m vuông)
Hình vẽ:
![](data:image/png;base64,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)