Polygon practice problems - last page
Number of problems found: 229
- Castle windows
Seven twelfth windows in the castle are in the shape of an n-gon. Six-fourteenths of these windows are quadrilateral in shape, while two-ninths of them are square windows. How many windows are there in the castle if there are 15 square windows? - Tetrahedral pyramid
What is the surface of a regular tetrahedral (four-sided) pyramid if the base edge a=16 and height v=16? - Irregular hexagon
There is an irregular hexagon whose sides are the same length. The opposite sides are parallel; their distance is 237, 195, and 193. What is its area? - Quadrilateral angle circle
The points ABC lie on the circle k(S, r) such that the angle at B is obtuse. How large must the angle at vertex B of quadrilateral SCBA be so that this angle is three times greater than the interior angle ASC of the same quadrilateral? - Goat
The fenced flower bed has the shape of a regular hexagon. The tops are formed by fence posts. The fence around the flowerbed measures 60 m. A goat is tied to one of the pillars from the outside and grazes on the surrounding meadow (the goat should not ent - Garden fence
The quadrilateral garden should be fenced off with a slatted fence. The sides of the orchard are 65 m, 78 m, 40 m and 32 m. The wheels are to be placed 6 m apart, and the axes of the rims are 15 cm apart. How much is needed for a wheel fence, and how many - Circumscribed hexa prism
The regular hexagonal prism is 2 cm high. The radius of the circle circumscribed by the base is 8 cm. Determine its volume and surface. - Line segments
Triangle ABC is divided by line segments. Lines DE and AB are parallel. Two lines are drawn from vertex C. The first line intersects points H and F on segments DE and AB. The second line intersects points I and G on segments DE and AB. Triangles CDH, CHI, - Parallelogram 44
Parallelogram ABCD has an area of 32 cm², |AB| = 8 cm, |BC| = 5 cm. Calculate the sizes of its interior angles.
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