The land
The owner wants to divide the land with dimensions of 220 m and 308 m into equally large square plots with the largest possible area. How long will one side of the plot be?
Correct answer:
Tips for related online calculators
Do you want to calculate the greatest common divisor of two or more numbers?
You need to know the following knowledge to solve this word math problem:
- algebra
- prime numbers
- greatest common divisor (GCD)
- expression of a variable from the formula
- planimetrics
- area of a shape
- square
- rectangle
- numbers
- natural numbers
Units of physical quantities:
Grade of the word problem:
We encourage you to watch this tutorial video on this math problem: video1
Related math problems and questions:
- Square gardens
The gardening colony with dimensions of 180 m and 300 m is to be completely divided into equally large square areas with the largest possible area. Calculate how many such square areas can be obtained and determine the square's side length. - Harry
Harry Thomson bought a large land in the shape of a rectangle with a circumference of 90 meters. He divided it into three rectangular plots. The shorter side has all three plots of equal length. Their longer sides are three consecutive natural numbers. Fi - Three gardens
Is it possible to divide a plot of land with an area of 927 m² into three gardens in a ratio of 4:2:3 so that their areas are only whole multiples of square meters? - Cutting paper
Divide a rectangular paper with dimensions 220mm and 308mm into squares of the same size so that they are as large as possible. Specify the length of the side of the square.
- Dimensions 7131
The paper has dimensions 220mm and 308mm. We need to cut it into as large a square as possible. What will be the side of this square? - Garden rent
The town of Bellmere has purchased a square plot of land that is 0.2 km by 0.2 km to make a community garden. If the garden is divided into plots that average 50 ㎡, how many plots will be available to rent? - Circumference 6382
Jan bought a large rectangle plot with a circumference of 90 meters. He divided it into three rectangular plots. The shorter side has all three plots of the same length. Their longer sides are three consecutive natural numbers. Find out each plot's dimens - A landscaper 2
A landscaper has 1/8 ton of dirt. She distributes it equally across two plots of land. What fraction of the dirt does each plot get? - Rectangular 61183
Mr. Nový exchanged his rectangular plot of 5.2 hectares with his neighbor for two. The first plot has the shape of a square with a side of 70 m, and the second has the shape of a rectangle with dimensions of 110 m and 410 m. After the exchange, does the n
- Maximally 4036
Mr. Novák wants to pave the terrace with tiles of two sizes to be as small as possible. Its terrace is square with a side 3 meters long. There is a wall of the house on two sides of the terrace. Next to the wall, he wants to put small tiles, the rest larg - L gardens
Find how long the area with gardens is if the square plots have a circumference of 8 m and the rectangular plot has a circumference of 14 m. The gardens are adjacent so that the shorter side of the rectangular plot is adjacent to the first square garden a - A landscaper
A landscaper has 1/5 ton of dirt. She distributes it equally across three plots of land. What fraction of the dirt does each plot get? - Rectangular 4819
Divide the rectangular meadow with dimensions of 1280m and 320m into a square shepherd with the longest possible side of the square. How many square pastures did you divide the meadow? - A square 4
A square plot of land has an area of 20.25 ha. The owner fenced it with Three strands of wire. What length of wire did he use for the whole plot?
- Individual 6270
Divide three lines with lengths of 12 cm, 24 cm, and 64 cm into equally long and, at the same time, the most extended possible parts. How long will the individual parts be, and how many will there be? - Land - isosceles trapezoid
Calculate the building plot's area and perimeter in the form of an isosceles trapezoid with bases of 120m, 95m, and a height of 50m. - Paper
The drawing paper has dimensions 220mm and 308mm. Pupils should cut it into squares of the same size so that they are as large as possible. Determine the dimensions of the square in cm and the number of squares.
