Planimetrics + rectangle - practice problems - page 11 of 38
Number of problems found: 745
- Calculated 82619
When modifying the school plot in the shape of a rectangle, the deviation was calculated if we increased the length and width of the plot by 1m and its area by 22 m². If we reduce the length of the plot by 2m and increase its width by 1m, its area will de - The hall
The hall had a rectangular ground plan, one dimension 20 m longer than the other. After rebuilding, the length of the hall declined by 5 m, and the width increased by 10 m. The floor area increased by 300 m². What were the original dimensions of the hall? - Rectangular 9241
Calculate the area of a rectangular garden if it consumed 266 ordinary meters of mesh on its fencing and if we know that the difference between the lengths of two adjacent sides of the garden is 15 m. - 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.
- Inscribed rectangle
What is the perimeter of a rectangle inscribed in a circle whose diameter is 5 dm long? Answer: 14 dm - Perimeter 20283
If we increase the length of one pair of opposite sides of the square by 2 cm and the length of the other two sides by 1 cm, we will create a rectangle, the perimeter of which will be 10% larger than the perimeter of the original square. What is the side - 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? - Square tiles
The room has dimensions of 12 meters and 5.6 meters. Determine the number of square tiles and their largest dimension to exactly cover the floor. - Rectangle's 47643
The rectangle has an area of 147 cm². One of its sides is three times longer than the other side. We increase the shorter side of the rectangle by 8 cm. By how many cm² will the new rectangle's area be larger than the original rectangle?
- Smallest 44681
What is the smallest width of the pool to be divided without rest into equally wide tracks, either 80cm or 1m, or 120cm? - Dimensions 8044
In the given rectangle, the length is 12 m greater than the width. We get a square if we reduce the length by 10 m and increase the width by 2 m. The area of the original rectangle is 300 m² more than the area of the square. Determine the dimensions of th - Rectangular 4184
The rectangular plot has sides 20m and 28m long. Calculate the area of the rhizome and find out how long the longer side of the plot with the same area must be if the shorter side is 16 meters long. Also, calculate the length of the fence around each rhiz - Rectangular 22761
We will pave a square plot of land from rectangular tiles with 25 cm and 30 cm dimensions. What is the smallest square plot we can pave with these tiles without cutting them? - Performance 7116
The clerk collected CZK 98,000 for the theater performance. There are a total of r rows in the hall. Each row has s seats. All tickets cost the same, and all were sold. What expression corresponds to the price of one ticket in CZK?
- Grandfather's 5067
Jirka has a step length of 40 cm. He takes six hundred steps around his grandfather's garden. The length of the garden is three times greater than its width. Jirka wanted to calculate his grandfather's garden's length, width, and area. - Kindergarten 11891
The perimeter of the kindergarten garden measures 126 meters. The longer side of the school garden fence broke. How many meters of 180 cm wide mesh does the janitor need to buy to repair it if the shorter side measures 28 meters? - A map
A map with a scale of 1:5,000 shows a rectangular field with an area of 18 ha. The length of the field is three times its width. The area of the field on the map is 72 cm square. What is the actual length and width of the field? - A photograph
A photograph will stick to a white square letter with an x cm length. The photo is 3/4 x cm long and 20 cm wide than the width of the paper. The surface of the remaining paper surrounding the photograph is 990 cm². Find the size of the paper and the photo - Rectangle
The length of the rectangle is 12 cm greater than three times its width. What dimensions and area this rectangle has if its circumference is 104 cm?
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