Planimetrics + area - practice problems - page 54 of 76
Number of problems found: 1504
- Interesting property
Plot a rectangular shape has the interesting property that circumference in meters and the area in square meters are the same numbers. What are the dimensions of the rectangle? - Calculate 14733
Square has the side a = 12 cm. Calculate the area of a triangle in the square. - Rectangular 6892
How does one dimension of a rectangular garden depend on another if the garden has an area of 500 m²? - Rectangular trapezoid
The ABCD rectangular trapezoid with the AB and CD bases is divided by the diagonal AC into two equilateral rectangular triangles. The length of the diagonal AC is 62cm. Calculate the trapezium area in cm square and calculate how many different perimeters
- Wheat
The rectangle-shaped field with dimensions 1268 m and 745 m harvested last year was 4959 q wheat. (1 q = 1 quintal = 100 kg). During the year, it was necessary to fix the pipe and therefore did kick wide 4 m parallel to the side of the field 745 m, were n - Trapezoid thirds
The ABCD trapezoid has parallel sides AB and CD. The E point lies on the AB side. The segment DE divides the trapezoid into two parts with the same area. Find the length of the AE line segment. - Four sides of trapezoid
The trapezoid is given by the length of four sides: 40.5 42.5 52.8 35.0. Calculate its area. - CZ flag
What percentage of the Czech flag comprises blue, white, and red textiles? - The carpet
How many meters of carpet 90 cm wide need to cover the floor room, which has a rectangular shape with lengths of 4.8 m and 2.4 m, if the number of pieces on the carpet is needed to be lowest?
- Cardboard box
Peter had square cardboard. The length of the pages was an integer in decimetres. He cut four squares with a side of 3 dm from the corners and made a box out of it, which fit precisely 108 cubes with an edge one dm long. Julia cut four squares with a side - Square
If we increase the side of the square, increase its area of 91%. What is the percentage we increase the side of the square? - Ratio of sides
Calculate the area of a circle with the same circumference as the circumference of the rectangle inscribed with a circle with a radius of r 9 cm so that its sides are in a ratio of 2 to 7. - The sides
The sides of the rectangle are in a ratio of 3:5, and its circumference measures 72 cm. Calculate: a) the size of both sides of the rectangle b) the area of the rectangle c) the length of the diagonals - Centimeters 82996
The volume of the trapezoid is 132 cm². The difference in the length of both bases is 6 cm, and the height is 2 cm longer than the shorter base. Determine the height of the trapezoid in centimeters.
- Equilateral 83013
Traffic signs are equilateral triangles with a side length of 900 mm. How many euros does a galvanized sheet cost to produce 50 pieces of such brands if we consider adding 15% of the material for waste? The price of 1 square meter of sheet metal is 6.5 eu - Height and base
An isosceles triangle has an area of 168 cm², and its added height and base are 370 cm. What are the measurements of its height and base? - Railway embankment
The railway embankment section is an isosceles trapezoid, and the bases' sizes are in the ratio of 5:3. The arms have a length of 5 m, and the embankment height is 4.8 m. Calculates the size of the embankment section area. - Squares ratio
The first square has a side length of a = 6 cm. The second square has a circumference of 6 dm. Calculate the proportions of the perimeters and the proportions of these squares. (Write the ratio in the basic form). (Perimeter = 4 * a, area S = a²) - Perimeter and legs
Determine the perimeter of a right triangle if the length of one leg is 75% length of the second leg, and its area is 24 cm².
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