There is a rectangular flower stand with a perimeter of 48 meters. The cut length and width are integers. The length and width are reduced by 3 meters respectively. How many square meters has the area been reduced

There is a rectangular flower stand with a perimeter of 48 meters. The cut length and width are integers. The length and width are reduced by 3 meters respectively. How many square meters has the area been reduced


48÷4=12=4+8=5+7
Because: length and width are greater than 3 meters
Therefore: only length 8 and width 4 or length 7 and width 5 can satisfy the theme
When length 8 width 4:8 × 4 - (8-3) × (4-3) = 27 square meters
When length 7, width 5:7 × 5 - (7-3) × (5-3) = 27 square meters



If the length of a rectangle is increased by 5 meters, the width is reduced by 3 meters, and the area is reduced by 15 bisection meters. If the length is decreased by 3 meters, the width is increased by 5 meters, and the area is increased by 145 square meters, the perimeter of the original rectangle is calculated
Fast


Let the length and width of the original rectangle be x meters and Y meters respectively
According to the meaning of the title:
(x+5)(y-3)=xy-15
(x-3)(y+5)=xy+145
The results are as follows
x=50,y=30
(50+30)×2=160
A: the perimeter of the original rectangle is 160 meters



A piece of square glass is cut off by 6cm on one side and 4cm on the other. The area of the remaining rectangular glass is 376cm less than the original area
How many centimeters is the side length of the original square glass?


The original square glass side length is (376 + 4 * 6) / (4 + 6) = 40 cm



One side of a square carries 12 centimeters, and the other side carries 8 centimeters. The area of the remaining rectangle is 1760 square centimeters less than the original area,
How many centimeters is the side length of a square? 1 does not need equation 2


Side length = (1760 + 12 * 8) / (12 + 8) = 1856 / 20 = 92.8 cm