If the length and width of a rectangle increase by 4 meters, the area will increase by 88 square meters. What is the perimeter of the original rectangle?

If the length and width of a rectangle increase by 4 meters, the area will increase by 88 square meters. What is the perimeter of the original rectangle?


Length + width = (88-4 × 4) △ 4 = 18m
Perimeter = 2 × 18 = 36m



The perimeter of a rectangle is 32 meters and the area is 15 square meters. The length of the rectangle is () meters longer than the width


The sum of length and width is
32÷2=16=1+15
15=1×15=3×5
So the length is 15 meters and the width is 1 meter
Length is longer than width
15-1 = 14 (m)



The perimeter of a rectangular land is 50 meters, and the length is 1.5 times the width. How many square meters is the area of this land?
In 2002, the International Congress of mathematicians was held in Beijing. The logo of the Congress is shown in the figure below. It is composed of four identical right triangles (the right side length is 2 and 3). What is the area of the large square


50/2=25
Width 25 / (1 + 1.5) = 10
Length 25-10 = 15
Area: 10 * 15 = 150



There are several different ways to put together a large cuboid with eight small cube blocks with the edge length of 2cm. What is the volume and surface area


8 = 1 * 2 * 4, so there are two kinds of (1) 1 * 1 * 8:1 layer, 1 row for each layer, 8 length, width and height for each row, 2,2,16 surface area = 2 (2 * 2 + 2 * 16 + 2 * 16) = 136 square centimeter, volume = L * w * H = 2 * 2 * 16 = 64 cubic centimeter (2) 1 * 2 * 4:1 layer, 2 rows for each layer, 4 length, width and height for each row, 2,4,8 surface area = 2 * (2 * 4 + 2 * 8 + 4 *)



(1) are the cuboids of different spellings equal in volume? How much is it? (2) What is the surface area of a cuboid?


(1) (2) 8 × 1 × 1 spelling: 10 × 8 = 80 (CM), (80 × 10 + 80 × 10 + 10 × 10) × 2, = 1700 × 2, = 3400 (cm 2); 2) 4 × 2 × 1 spelling: length is 4 × 10 = 40 (cm), width is 10 × 2 = 20 (CM)



There are several ways to make a large cuboid from three cuboids which are 6cm long, 4cm wide and 2cm high. How to make their surface area the largest and the smallest


1. The total area of three cuboids - reduced area = the surface area of a large cuboid. 2. Six sides of a cuboid: front = back = 6 × 2 = 12 (square centimeter), top = bottom = 6 × 4 = 24 (square centimeter), left = right = 4 × 2 = 8 (square centimeter). 3. How to make the largest area: the smallest area (12 + 24



How to draw a rectangle with an area of 20 cm?


There are many painting methods, as long as the length x width = 20 square centimeters
Commonly used are 20 cm long, 1 cm wide; 10 cm long, 2 cm wide; 5 cm long, 4 cm wide



If the area of the rectangle drawn is 24 square centimeters, how many different drawing methods are there? How many centimeters is the perimeter at this time?


Length 24, width 1, perimeter 50
Length 12, width 2, perimeter 24
Length 8, width 3, perimeter 22
Length 6, width 4, perimeter 202



Draw a rectangle with an area of 12 square centimeters. How many can you draw?


1 × 12 = 12 (square centimeter), 6 × 2 = 12 (square centimeter), 4 × 3 = 12 (square centimeter)



Use six small squares with an area of 1 square centimeter to form a plane figure. If the perimeter is required to be 12 cm, what kind of figure can be put together


It can be put into a figure of 7, 4 small squares at the top of 7 to form a big square, and 2 small squares to form a rectangle