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Xiao Li wants to use a square piece of paper with an area of 900 square meters to cut a rectangular piece of paper with an area of 800 square meters along the direction of the side, so that the ratio of length to width is 5:4. I don't know if it can be cut out, but I'm worried. Xiao Ming sees it and says, "don't worry, You must be able to use a large piece of paper to cut a small piece of paper. "Do you agree with Xiao Ming? Can Xiao Li use this piece of paper to cut a piece of paper that meets the requirements?
Xiao Li wants to use a square piece of paper with an area of 900 square meters to cut a rectangular piece of paper with an area of 800 square meters along the direction of the side, so that the ratio of length to width is 5:4. I don't know if it can be cut out, but I'm worried. Xiao Ming sees it and says, "don't worry, You must be able to use a large piece of paper to cut a small piece of paper. "Do you agree with Xiao Ming? Can Xiao Li use this piece of paper to cut a piece of paper that meets the requirements?
The reasons are as follows:
Let the length and width of a rectangle with an area of 800 square centimeters be divided into 5x and 4x,
Then 5x × 4x = 800,
x²=40,
∴x=2√10
The length and width of the rectangle with an area of 800 square centimeters are divided into 10 √ 10cm and 8 √ 10cm,
A square with an area of 900 square centimeters has a side length of 30 centimeters,
30 cm ＜ 10 √ 10 cm
With a square piece of paper with an area of 900 square centimeters, a rectangular piece of paper with an area of 800 square centimeters can not be cut along the direction of the edge, so that the ratio of length to width is 5:4
Use a square piece of paper with an area of 900 square centimeters to cut a rectangular piece of paper with an area of 800 square centimeters. Length: width: 4:2
With a square piece of paper with an area of 900 square centimeter, cut a rectangular piece of paper with an area of 800 square centimeter along the direction of the side, so that the ratio of length to width is 4:2. I don't know whether it can be cut out. I'm worried. Liang Liang said: "don't worry, I can cut a small piece of paper with a large area.", Do you agree with Liang Liang? Can Xiao Wen use this piece of paper to cut a piece of paper that meets the requirements?
In the form of answers, thank you!
Let the length be x cm and the width be y cm
x:y=4:2 1
xy=800 2
From 1, x = 2Y 3
Substituting 3 into 2, we get 2Y & # 178; = 800
y²=400
y=20
Then x is 40
Root 900 = 30
40 cm > 30 cm,
A: because 40cm > 30cm, I don't agree with Liang Liang. Xiaowen can't use this piece of paper to cut a piece of paper that meets the requirements
A cuboid has a square bottom, and the sum of the areas of the front, back, left and right sides is 60 square centimeters?
The side length of the bottom of the cuboid is: 60 △ 4 △ 5 = 15 △ 5 = 3 (CM), the volume is: 3 × 3 × 5 = 45 (cm3); a: the volume of the cuboid is 45 cm3
After the side area of a cylinder is expanded, it is a square with side length of 314 decimeters. How many square decimeters is the surface area of the cylinder?
I'll add points later
314 △ 3.14 = 100 (decimeter)
(100 △ 2) ^ 2 × 3.14 = 7850 (square decimeter)
7850 × 2 + 314 × 314 = 114296 (square decimeter)
The number of topics how to pinch
The side length of a square glass is 13 meters out of 20. How many meters is its perimeter? How many square meters is its area?
Its circumference is 13 / 20 x 4 = 13 / 5 = 2 / 5 3 meters
Area = 13 / 20 x13 / 20 = 169 / 400 M2
How many square meters is the area of a 100 meter square
Square area = 100 × 100 = 10000 square meters
A square with a side length of 100 cm and an area of 1 square meter___ (right or wrong)
100 cm = 1 meter, 1 × 1 = 1 (square meter); answer: the side length is 100 square cm square, the area is 1 square meter
How many square meters is the area of a 100 cm square?
Let me answer. The stem of the question says "side length" instead of "perimeter", so it is wrong to use 25 * 25. The correct area is 100 * 100 = 10000 (square centimeter). Converted into square meter: 10000 square centimeter = 100 square decimeter = 1 square meter. There are few scholars who are really knowledgeable and rigorous
Known square area is 100 square meters, find the side length of the square
10 meters
Known square area is 300 square meters, the largest circular part in the middle is a pool, the rest is turf, lawn area is how many square meters?
The area of a square is 300 square meters
Square side length = √ 300 = 10 √ 3
Diameter of circle = 10 √ 3 radius of circle = 5 √ 3
Area of circle = π (5 √ 3) &# 178; = 75 π
Lawn area 300-75 π
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