Planimetrics + expression of a variable from the formula - practice problems - page 2 of 46
Number of problems found: 902
- Quadrilateral 23881
Calculate the height of a regular quadrilateral prism whose base is a rhombus. The edge in the base is 7 cm long, the opposite edges are 5 cm apart, and we also know that the entire body has a volume of 1dm³. - 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. - Edmond 2
Edmond bought a new cage for his pet rabbit since he's gotten so big. The area of the old cage's floor was 6 square feet. The area of the new cage's floor is n square feet larger, for a total of 8 square feet. Write expressions that tell this story and fi - The garden
The garden has the shape of a rectangular trapezium. The bases have lengths of 27 meters and 36 meters, and the trapezoid's height is 12 meters. Calculate how much a fence will cost this garden if one meter costs 1.5 €. - 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 - Rectangular 4184
The rectangular plot has sides 20m and 28m long. Calculate the content of the rhizome and find out how long the longer side of the plot with the same content must be if the shorter side is 16 meters long. Also, calculate the length of the fence around eac - Circumference 82489
An isosceles trapezoid has one base twice as short as the other. Its content is 42cm², and its height is 4cm. Calculate its circumference if you know that the arm is 5.3 cm long. - 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? - 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 - Woman's day
We can easily make a heart for mothers for Woman's day by drawing two semicircles on the two upper sides of the square standing on their top. What is the radius of the circle circumscribed by this heart when the length of the side of the square is 1? - Rhumbline
Find the circumference and area of the rhumbline ABCD if the short side AD has a length of 5 cm, and the heel of the height from D leading to the AB side divides the AB side into two sections of 3 cm and 4 cm. - 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. - Intersection 81594
Given a trapezoid ABCD and the sizes of the interior angles. Angle SDC 32° SAD angle 33° SDA angle 77° Angle CBS 29°, where S is the intersection of the diagonals. What is the size of the angle BSA? - 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 - Square
Calculate the area of the square shape of the isosceles triangle with the arms 50m and the base 60m. How many tiles are used to pave the square if the area of one tile is 25 dm²? - Diagonal
The rectangular ABCD trapeze, whose AD arm is perpendicular to the AB and CD bases, has an area of 15 cm square. Bases have lengths AB = 6cm, CD = 4cm. Calculate the length of the AC diagonal.
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