If the length of a rectangle is increased by 2 meters and the width by 5 meters, then the area will be increased by 60 square meters. At this time, it will just become a square?

If the length of a rectangle is increased by 2 meters and the width by 5 meters, then the area will be increased by 60 square meters. At this time, it will just become a square?


The length of a square is x meters, and the length of the side length of a square is x, and the length of the square is x, and the length of the length of the side of the square is x, and the length of the length of the square is x, and the length of (X-2 - (X-2) (X-2) (x-2-2) (X-5) (X-5) (X-5) (X-5) (x-2-2) (x-2-2) (X-5) (X-5) (X-5) (X-5) (X-5) (X-5) (X-5) (x-5-5-5-5) = 60, 60, and the & amp & nbsp & nbsp & nbsp; & nbsp; & & nbsp; & nbsp; & & nbsp; & & nbsp; & nbsp; & & nbsp; & nbsp; & nbsp; & & nbsp; & nbsp; & nbsp; & & nbsp; & nbsp; & nbsp & nbsp; & & nbsp; & & nbsp & nbsp; & nbsp & nbsp; & & nbsp; & nbsp & nbsp; & & amp & nbsp; & & nbsp; & nbsp; & & amp & nbsp; & nbsp; & nbsp; & nbsp; & nbsp nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; &X = 10, the original area is: (10-2) × (10-5), = 8 × 5, = 40 square meters. A: the original area of a rectangle is 40 square meters,



If the length of a rectangle remains unchanged and the width increases by 2 meters, the area will increase by 46 square meters; if the width remains unchanged and the length increases by 3 meters, the area will increase by 48 square meters,
(continue) what is the area of the original rectangle in square meters?


46 △ 2 = 23. Length
48 △ 3 = 16. Width
23×16=368



As shown in the figure, a cuboid wood is 2 meters long and its cross section is square. Cut the wood into two sections, and the surface area increases by 0.5 square meters
How many square meters? How many cubic meters is the volume?


If the surface area increases by 0.5 m2, the square area of cross section is 0.5 / 2 = 0.25 m2
Volume: 0.25 * 2 = 0.5m3
Side length of square: 0.5m
Surface area: 0.5 * 2 * 4 + 0.25 * 2 = 4.5 square meters



The bottom of the cuboid is square, and the area is 25 square meters
What's the formula


If the bottom is square and the area is 25 square meters, the side length is 5 meters and the surface area is 2 * (2 * 5 + 5 * 5 + 2 * 5) = 90 square meters



A rectangular timber, 2 meters long, with a square cross section. Cut the timber into two sections, and the surface area increases by 0.5 square meters
Surface area and volume of original wood


If the surface area is increased by 0.5 square meter, two cross sections are added
Therefore, the cross-sectional area = 0.5 / 2 = 0.25 square meters
It's the original volume
Volume = 0.25 * 2 = 0.5m3



A rectangle cuts his length into three sections. The cross section is square. Each section is 2 meters. The surface area increases by 16 square meters


Cut it into three sections and add four faces
16 △ 4 = 4 square meters (bottom area)
4=2×2
Therefore, the width and height are 2 meters
Length = 2 × 3 = 6M
Surface area = 4 × 2 + 2 × 6 × 4 = 56 square meters
Volume = 4 × 6 = 24 square meters



A cuboid wood, 2 meters long, with a square cross section. Cut the wood into two sections, and the surface area increases by 0.5 square meters


0.5÷2=0.25
Because 0.5x0.5 = 0.25
So the side length of cross section is 0.5
0.5x2x4+0.5x0.5x2=8.5



When the side length of a square increases by 2 meters, its area increases by 24 square meters. How many square meters is the area of this square?


After drawing, you can find that
Original side length = (24-2 × 2) / (2 * 2) = 5
Original area = 5 × 5 = 25



There is a square whose side length increases by 2 meters, its area increases by 16 square meters. How much is the original area of the square?


Draw a square and extend its two sides by 2 meters to form a new square. The cross area of the new figure is 2 × 2 = 4 square meters. Subtract the cross area from the new area and divide it by 2 to get the area of a rectangle, which is the product of the length of the original square and 2. Divide its area by 2 to get the length of the original square, Then multiply the side length by the side length to get the area of the original square
(16-2 × 2) △ 2 △ 2 = 3M
3 × 3 = 9 square meters



When the side length of a square increases by 2 meters, its area increases by 24 square meters. What is the original area of the square


Let X be the side length
(X+2)^2-X^2=24
X^2+4X+4-X^2=24
4X+4=24
4X=20
X=5
Original area = 5 * 5 = 25 square meters