"Association Method" Quadratic Equation of One Variable PPT Courseware 4

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"Association Method" Quadratic Equation of One Variable PPT Courseware 4

1. Area problem

(1) As shown in the figure, three ditches are dug on a rectangular farmland with a length of 92m and a width of 60m. The ditches are all equal in width. The ditches divide the farmland into 6 rectangular blocks with an area of ​​885m². How wide should the ditches be dug?

(2) As shown in the picture, a 90cm long and 40cm wide landscape painting is surrounded by a golden paper edge of the same width to make a hanging painting. If the hanging painting area is required to be 72% of the entire area, then the gold edge What should be the width?

(3) Punch out a rectangle on the rectangular steel sheet to make a rectangular frame with equal width on all sides. It is known that the length of the rectangular steel sheet is 30cm and the width is 20cm. If the area of ​​the made rectangular frame is 400cm², find the width of the frame of the rectangular frame.

(4) As shown in the figure, a rectangular iron sheet with a length and width of 60 cm and 40 cm respectively needs to be cut off from four equal small squares at its four corners and folded into a rectangular parallelepiped sink without a cover, so that its bottom area is 800 square meters. Find the length of the side of the truncated square.

(5) The school plans to build a rectangular bicycle shed with an area of ​​50 square meters on the site behind the library. One side will use the back wall of the library and the existing iron fence with a total length of 25 meters. Please design and how to build it. More suitable?

(6) As shown in the figure, in the rectangle ABCD, AB=6cm, BC=12cm, point P starts from point A and moves along AB edge to point B at a speed of 1cm/s. Point Q starts from point B and moves along BC to point C. Moving at a speed of 2cm/s, if P and Q start from A and B at the same time, how many seconds later will the area of ​​the pentagon APQCD be 64cm?

2. Percentage question:

(1) The quantity in 1995 is A, and the quantity in 1997 is B. After two time units, find the growth rate x.

(2) The quantity A in 95 years increases by m% after two time units. Find the growth rate x.

(3) The quantity in a certain quarter is B, and the quantity in the first month is A. Find the growth rate x in the next two months.

(4) The store's profit in January was 2,500 yuan and its profit in March reached 3,000 yuan. What is the average profit growth percentage in these two months?

(5) A certain drug has been reduced in price twice, and the retail price has been reduced to half of the original price. It is known that the percentage of the two price reductions is the same, find the percentage of each price reduction. (Accurate to 0.1%)

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For more information about the PPT courseware "Methods of Combining Quadratic Equations of a Variable Equation", please click the PPT tab of "Methods of Combining Quadratic Equations ppt".

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Update Time: 2024-10-27

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