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Increase one side of a square by 1 / 3 and the other side by 1 / 4, the perimeter of the rectangle is 96 cm, which is the perimeter of the original square
[(4/3)xa+(5/4)xa]x2=96
The solution is a = 576 / 31
So the perimeter of the original square is 4xa = 2304 / 31
A square is divided into four rectangles by two straight lines. The sum of the circumference of the four rectangles is 200 cm. How much is the circumference of the original square?
Drawing observation, let two straight lines be straight line a and straight line B respectively. The perimeter of four rectangles is the perimeter of the outer square plus 2 (a + b) (because each straight line is used twice when calculating the perimeter of the rectangle), so 2 (a + b) is exactly the side length of another square,
So the perimeter of a square is 200 divided by 2 = 100
A square is divided into four rectangles by two straight lines. The sum of the circumference of the four rectangles is 200 cm
The additional question on page 40, with pictures, can't be drawn
The two dividing lines are calculated twice when calculating the circumference of the rectangle
That is, side length × 4 + side length × 2 × 2 = 200 cm
Side length = 200 △ 8 = 25cm
Perimeter = 25 × 4 = 100 cm
The circumference of a rectangle is 48 cm. Its length is twice its width. How many cm are its length and width?
48 △ 2 = 24 (CM) length: 24 × 22 + 1 = 24 × 23 = 16 (CM) width: 24 × 12 + 1 = 24 × 13 = 8 (CM) answer: its length is 16 cm and its width is 8 cm
As shown in the figure, the circumference of a rectangle is 80 cm. What is its length and width?
A rectangle is drawn four squares long and three squares wide. How much is its length and width?
Circumference = (length + width) × 2. Therefore, 80 / 2 = 40
4 + 3 = 7 (portion) 4 / 7 = 4 / 7 3 / 7 = 3 / 7
40 * 4 / 7 = 160 / 7; 40 * 3 / 7 = 120 / 7
Finished!
As shown in the figure, the circumference of a rectangle is 72 cm. How many cm are its length and width
It's a rectangle, 5 lattices long and 3 lattices wide
(to calculate)
Length = 72 △ (5 + 3) × 5 = 45cm
Width = 72 △ (5 + 3) × 3 = 27 cm
The circumference of a rectangle is 48 cm, and its width is 5 / 7 of its length. Find the area of a rectangle
As above
48 / 2 = 24 cm
24 ÷ (1 + 5 / 7) = 14 cm long
24-14 = 10 cm wide
The perimeter of a rectangle is 48 decimeters, and the ratio of length to width is 2; 1
Width 48 / 2 / (2 + 1) = 8 cm
Length 8 * 2 = 16 cm
Area 16 * 8 = 128 square centimeters
The circumference of a rectangle is 48 decimeters, and the ratio of length to width is 5 to 3,
48÷（5+3）=6
Length: 6 × 5 △ 2 = 15
Width: 6 × 3 △ 2 = 9
The perimeter of a rectangle is 48 decimeters, the known length is twice the width, and the area of a rectangle
48 △ 2 = 24 decimeters
Width: 24 ÷ (1 + 2) = 8 decimeters
Length: 24-8 = 16 decimeters
Area: 16 × 8 = 128 square decimeters
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