The first group of students surrounded a rectangular garden with a fence. The fence on one side was 6 meters long. The second group of students surrounded a square garden with an area of 49 square meters with a fence of rectangular perimeter. How many meters is the perimeter of the square fence? Which is bigger than the area product of the square

The first group of students surrounded a rectangular garden with a fence. The fence on one side was 6 meters long. The second group of students surrounded a square garden with an area of 49 square meters with a fence of rectangular perimeter. How many meters is the perimeter of the square fence? Which is bigger than the area product of the square


The first group enclosed a rectangular garden with a fence, of which the fence on one side was 6 meters long. The second group enclosed a square garden with an area of 49 square meters with a fence of rectangular perimeter. What is the perimeter of the square fence? Which is larger than the area product of the square?
49 = 7 * 7 (side length of square is 7m)
The total length of the fence is 7 * 4 = 28m
(28-6 * 2 (2 in length or width) / 2 = 8 (m)
Rectangular area: 8 * 6 = 48 (M2)
How many meters is the perimeter of a square fence? 7 * 4 = 28 meters
Compared with the area of a square, which is bigger? 49 is bigger than 48!



(1) A 60 meter long fence is used to form a rectangular flower bed. If the length is 3 meters less than 2 times the width, what is the area of the rectangle
(1) A 60 meter long fence is used to form a rectangular flower bed. If the length is 3 meters less than twice the width, what is the area of the rectangle?
(2) In order to promote a certain commodity, the shopping mall decided to sell it at a discount. After calculation, if the discount is 75%, the loss will be 25 yuan; if the discount is 10%, the profit will be 20 yuan. What is the price of this commodity?


1) Length + width = 30, if length is less than 2 times of width, width = 11, length = 19, area 11 * 19 = 209
2) If the price is x, then x * 0.75 + 25 = x * 0.95-20, x = 225



(1) Use a 120 meter long fence to form a rectangular flower garden with an area of 500 square meters, and find out the length and width of the rectangle. (2) can we use a 120 meter long fence to form a rectangular flower garden with an area of 901 square meters? Explain your reasons


(1) Let the length be x, then the width is 60-x. according to the meaning of the Title X (60-x) = 500, we can simplify it to x2-60x + 500 = 0, and solve the equation to X1 = 10, X2 = 50, so the rectangle is 50 meters long and 10 meters wide. (2) let the length be x, then the width is 60-x. according to the meaning of the Title X (60-x) = 901, we can simplify it to x2-60x + 901 = 0, because △ = (- 60) 2-4 × 901 = - 4 < 0, the equation has no real root, so we can't use 120 meters fence to form a fence A rectangular flower bed with an area of 901 square meters