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There is a rectangle, which is three times as long as it is wide and covers an area of 243 square meters. How many meters is the length and width of this land
Let the width be x, then
3x^2=243
The solution is x = 9 or - 9
-9 is not in line with the meaning of the title
So it's 9 meters wide and 27 meters long
The experiment of improved rice varieties was carried out on a rectangular land. The length of the rectangular land is three times the width, and the area is 3600 m2. What is the perimeter of the experimental field?
Let the width be x and the length be 3x
X×3X=3600 → X²=3600÷3=1200 → X=20√3
Perimeter = (20 √ 3 + 3 × 20 √ 3) × 2 = 160 √ 3
The perimeter of a rectangular piece of land is 100 meters. If the length is increased by one-third and the width is increased by 25%, what is the original area of the land if the perimeter is increased by 30 meters
It turns out that the sum of length and width is
100 △ 2 = 50m
Assuming that the 50 meters are all wide, his quarter should be
50 × 1 / 4 = 12.5m
Less than actual
30 △ 2-12.5 = 2.5m
This 2.5 meters is long
1/3－1/4＝1/12
Long is
2.5 △ 1 / 12 = 30m
Kuan Shi
50-30 = 20m
What was the original area of the land
30 × 20 = 600 square meters
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