Examples of area of plane shapes - page 36 of 135
Number of problems found: 2697
- Parallelogram - area
Calculate the area of the parallelogram if a = 57 cm, the diagonal u = 66 cm, and the angle against the diagonal is beta β = 57°43' - Rectangle measurements
In the ABCD rectangle, the AB side is 16 cm long, and the AC diagonal is 20 cm long. Calculate the perimeter and area of the rectangle. - Square area
Complete the table and then draw each square. Provide exact lengths. Describe any problems you have. Side Length Area Square 1 1 unit² Square 2 2 units² Square 3 4 units² - Circle in rectangle
We cut the largest possible circle from a paper rectangle with 25 cm and 15 cm sides. How many % of the area of the rectangle is the area of the circle? - Circle waste
Calculate the percentage of waste when we cut out 4 of the largest possible circles from a square sheet with sides of 1 meter. - Area conversion
Calculate and convert: 0.2 m² + 80 dm² + 200 cm² = how many m2 - Rectangular trapezium
Calculate the perimeter of a rectangular trapezium when its area is 576 cm² and side a (base) is 30 cm, height 24 cm. - Square - increased perimeter
How many times is the increased perimeter of the square, where its sides, increased by 150%? If the perimeter of the square increases twice, how much % increases the area of the square? - Math heart
A stylized heart shape is created from a square with a 5 cm long side and two semicircles over its sides. Calculate the area and its circumference. - Ratio - rectangle
The rectangle has dimensions of 6 cm and 9 cm. If its dimensions are increased in the ratio 5:3, how many times does its area increase, and how many times does its perimeter increase? - Logs
The log has a diameter of 30 cm. What largest beam with a rectangular cross-section can be carved from it? - Pentagon
Calculate the area of a regular pentagon whose diagonal has length u = 18. - R triangle
Calculate the area of a right triangle whose longer leg is 7 dm shorter than the hypotenuse and 10 dm longer than the shorter leg. - Diamond
Find the side length of a rhombus whose area is S = 194 cm² and one diagonal is u₂ = 44 cm. - Parallelogram 44
Parallelogram ABCD has an area of 32 cm², |AB| = 8 cm, |BC| = 5 cm. Calculate the sizes of its interior angles. - Total Sidewalk Area
The pavers paved 1/8 of the total area of the sidewalk on the first day. On the second day, they paved 20 square meters of pavement. In both two days, they paved 50 square meters of sidewalks. Calculate the total area of the sidewalk. - Approximate Flower Bed Area
They planted 5,600 tulips in the garden bed, an average of 50 tulips per 1 m². What is the approximate size of the flower bed? - Flower bed mesh
A rectangular flower bed, one side formed by a wall, must be fenced off with 8-meter-long mesh. What should the flower bed length be so the area is as large as possible? - Two 2
Two different harvesters together harvested potatoes from an area of 6.6 ha in one shift. The area that the less powerful harvester could harvest in six shifts, the more powerful one could harvest in five shifts. Determine the area that each harvester cou - Right-angled - legs
The lengths of legs are a = 7.2 cm and b = 10.4 cm in the right-angled triangle ABC. Calculate: a) lengths of the sections of the hypotenuse b) height to the hypotenuse c
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