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As shown in the figure, one side is against the wall, and the other three sides are surrounded by a 12 meter fence to form a rectangular (ABCD) flower garden. Then the functional relationship between the area s (square meter) of this flower garden and the length x (meter) of AB is______ ．
∵ AB = x, AB + BC + CD = 12, ∵ BC = 12-2x, then s = (12-2x) × x = - 2x2 + 12x
As shown in the picture, a 24m long fence is used to form a rectangular flower bed with two fences in the middle on one side of the open space near the wall. The width ab of the flower bed is set as X (m)
Area s (M2)
Suppose: the width of the garden is: X; then: the length of the garden is: 24 - 4x; the area of the garden is: S = x (24 - 4x) = - 4 x ^ 2 + 24 x = - 4 (x ^ 2 - 6x) = - 4 (x ^ 2 - 6 x + 9) + 36 = - 4 (x - 3) ^ 2 + 36
There are 250 pots of rose and chrysanthemum in the park. The number of pots of chrysanthemum is 1.5 times that of rose. How many pots of the two kinds of flowers are there? How many pots of chrysanthemum are more than rose?
It's very simple
250 / (1 + 1.5) = 100 (POTS) - pots of rose
100 * 1.5 = 150 (POTS) - pot number of Chrysanthemum
150-100 = 50 (POTS) - more pots of chrysanthemum than rose
A: there are 100 pots of rose, 150 pots of chrysanthemum, and 50 more pots of chrysanthemum than rose
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- 1. There are 365 pots of chrysanthemums in the park, 13 pots more than twice as many as roses. How many pots are there of roses? (solved by equation)
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- 11. As shown in the picture, a 65 meter long bamboo fence is used to surround a flower garden on the open space near the wall. The area of the flower garden is______ Square meters
- 12. The diameter of a circular flower bed is eight meters. What is the inherent fence around it? How long is the fence? What is the floor area
- 13. The diameter of a circular flower bed is 6 meters, and the area of the flower bed is, the total length of the fence around the flower bed
- 14. A rectangular flower garden is 14 meters long and 10 meters wide. ①: how many meters of fence is needed to fence around the flower garden. ②: if a one meter wide fence is built around the flower garden A rectangular flower garden is 14 meters long and 10 meters wide. ①: how many meters of fence is needed to fence around the flower garden. ②: if a 1 meter wide path is built around the flower garden. How many square meters is the area of the path?
- 15. Can a 120m long fence be used to form a rectangular flower bed with an area of 901 square meters
- 16. There is a square flower garden with a side length of 28.15 meters. A fence is inserted around the garden. How long is the fence?
- 17. The florist bought chrysanthemum, rose and tulip. The florist has 78 chrysanthemum, rose and tulip. Among them, chrysanthemum is more than twice as much as rose, four are more than tulip, and rose is three times as much as tulip There are 78 chrysanthemum, rose and tulip in the florist. Among them, chrysanthemum is more than 2 times of rose and rose is 3 times of tulip and less than 2. How many of these three kinds of flowers are there
- 18. The area of a piece of land is about 34 hectares, including 14 kinds of roses, 25 kinds of tulips, and the rest are rhododendrons. What percentage of the total area is Rhododendron?
- 19. The perimeter of a circular flower bed is 50.24 meters, in which 18 areas are reserved for planting chrysanthemums. What is the floor area of chrysanthemums?
- 20. The perimeter of a circular flower bed is 50.24 meters. There are three kinds of flowers in the flower bed. The planting area of peony accounts for about 1 / 5 of the total area, and the planting area of lily is the same as that of peony Like peony, the rest grow roses. What's the planting area of roses?