The sum of the side length of a square and the width of a rectangle is 20 cm, the perimeter of a square is one third of the perimeter of a rectangle, the width of a rectangle is 4 / 5 of the length, and the sum of the area of a rectangle and a square is how many square centimeters?

The sum of the side length of a square and the width of a rectangle is 20 cm, the perimeter of a square is one third of the perimeter of a rectangle, the width of a rectangle is 4 / 5 of the length, and the sum of the area of a rectangle and a square is how many square centimeters?

Let the length and width of a rectangle be 5xcm and 4xcm respectively, and the side length of a square be (20-4x) cm
Solution 4 (20-4x) = 2 * (4x + 5x) * 4 / 3
We get x = 2
Therefore, the side length of a square is 12 cm, and the length and width of a rectangle are 10 cm and 8 cm respectively
The area of a square is 144 square centimeters, and that of a rectangle is 80 centimeters,
So the sum of the area of a rectangle and a square is 224 square centimeters

A rectangular piece of paper is 20 cm long. Cut the largest square from one end of it. What is the circumference of the remaining small rectangle?
To calculate (a number or equation)

40 cm
Perimeter = 2 * square side length + 2 * (20 square side length) = 2 * 20 = 40 (CM)

A square is 20 cm long and divided into five equal rectangles. What is the circumference of each rectangle

Width = 20 △ 5 = 4cm;
Perimeter = 2 × (20 + 4) = 48 cm;
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The perimeter of a square is equal to that of a rectangle 20 cm long and 12 cm wide. How many centimeters is the side length of the square?

The solution is (20 + 12) × 2 / 4, = 64 / 4, = 16 (CM); a: the side length of this square is 16 cm

Use five rectangles of the same size to make a square. It is known that the circumference of each small rectangle is 36 cm. What is the circumference of the square

The length + width of the rectangle is 18 cm
And the length of the side of the square is just equal to the length of the rectangle and five times the width of the rectangle
So the length of the rectangle is equal to 5 times the width, that is, 5 width + width = 18
Width = 3cm, so length = 15cm
So the side length of this square is 15 cm
Perimeter = 4 × 15 = 60 cm

Use six square with side length of a cm to form a rectangle. The longest circumference of the rectangle is () and the shortest is ()

According to the meaning of the title, there are only two ways to put it into a rectangle. One is that the upper three pieces and the lower three pieces have a length of 3a and a width of 2A. At this time, the area is (3a + 2a) × 2 = 10A. The other way is that six squares are placed side by side, which has a length of 6a and a width of a, so its perimeter is (6a + a) × 2 = 14a. Therefore, the perimeter of the second way is the longest

Set up equations to put three squares together into a rectangle. The perimeter of the rectangle is 48 cm. Find the side length of the square

Let the side length of the square be xcm, then 2 * (x + 3x) = 48 x = 6, and the side length of the square is 6cm

It is said that if the length of a rectangle remains unchanged and the width is increased by 6, it becomes a square. The area of a square is three times that of the original rectangle

Width 6 / (3-1) = 3
Length 6 + 3 = 9

It is known that a rectangle has an area of 100 square centimeters, and its length is four times of its width. What is its length and width?

100 ÷ (1 × 4) = 25cm (L + W)
25 ÷ (1 + 4) = 5cm, width
5 × 4 = 20cm, length

Three rectangles of the same size make a square. It is known that the circumference of the rectangle is 24 cm. How many cm is the circumference of the square?

Pan Dongcheng,
If three rectangles of the same size form a square, the length is wide
3 △ 1 = 3 times
The circumference of the rectangle is 24 cm, and the length is:
24 ／ 2 ／ (3 + 1) × 3 = 9 (CM)
The perimeter of a square is:
9 × 4 = 36 (CM)