Quadrilateral practice problems
a quadrilateral is a polygon with four edges (or sides) and four vertices or corners. There are six basic types of quadrilaterals: rectangle, square, parallelogram, rhombus, trapezium, kite (deltoid). the angle sum of a quadrilateral is equal to 360ºNumber of problems found: 202
- Interior angles 4
How many degrees are in the sum of the interior angles of a quadrilateral? - A fence
A fence is to be put around a paddy field. The four sides of the field are 135.37 meters,96.5 meters, 137.46 meters, and 148 meters. Find the total length of fencing. - Quadrilateral angles in AP
The four angles of a quadrilateral form an arithmetic progression. If the common difference is 15°, then find all the angles. - Quadrilateral sides
What is the perimeter of a quadrilateral whose first side is 3 cm longer than the second side, the third side is 5 cm shorter than the fourth side, and the second side is 2 cm shorter than the fourth side? - Quadrilateral angle sizes
In the general quadrilateral ABCD, angle β is 9° greater than angle α, angle γ is 24° greater than angle α, and angle δ is 50° greater than angle β. Determine the sizes of individual angles. - Quadrilateral and angles In a quadrilateral, angle α is twice as large as angle β. Angle γ is 80% of angle α, and angle δ is 30° greater than angle α. Determine the angles of this quadrilateral.
- An electrician 3
In setting up a wiring job, an electrician ran the following lengths of wire: 340 m, 203 m, 74 m, and 99 m. Find the total length of wire used. - Quadrilateral The perimeter of a quadrilateral (four-sided plane shape) is 125 cm. How long is the fourth side of the three known sides measure a=12 cm, b=45 cm, and c=30.5 cm?
- Geometry exercise
Calculations from geometry: The ratios of the sides of the quadrilateral are 3 : 6:4.5 : 3.5. Calculate their lengths if the circumference is 51 cm. The sizes of the angles in the quadrilateral are equal to 29°30', 133°10', and 165°20'. What is the size o - Quadrilateral calc
The square ABCD is given. The midpoint of AB is E, the midpoint of BC is F, CD is G, and the midpoint of DA is H. Join AF, BG, CH, and DE. Inside the square (approximately in the middle), the intersections of these line segments form a quadrilateral. Calc - Quadrilateral PQRS
PQRS is a quadrilateral with P(4,4), S(8,8), and R(12,8). If vector PQ=4*vector SR, find the coordinates of Q. Solve it - Cylinder material waste
A cylinder with the maximum possible base was ground from a wooden regular quadrilateral prism (edge 2.8 cm, height 7.5 cm). What percentage of the material was wasted as waste? What percentage would it be if the height of the prism were twice as large? - Pit volume increase
The pit for ecological waste has the shape of a regular quadrilateral prism. The supporting edge is 5 meters long. The depth of the pit is 3.5 m. The company enlarged the pit by extending the base edges by 50 cm. By how much m³ has the amount of waste tha - Prism bases
Volume perpendicular quadrilateral prism is 360 cm³. The edges of the base and height of the prism are in the ratio 5:4:2. Find the area of the base and walls of the prism. - Flowerpot volume soil
Calculate the volume of the flowerpot in the shape of a quadrilateral prism and how many 20 l packages of soil need to be bought to fill it: dimensions: a = 30cm, height b = 40cm, length c = 120cm. - Pit soil volume
The lime pit has the shape of a quadrilateral prism with dimensions of 2m, 1.8m, and 1.5m Calculate the pile volume from the excavated soil, which, due to fluffing, is 20% larger than the volume of the pit. - Pyramid weight calculation
Calculate the weight of a regular quadrilateral pyramid with a base edge of 4 cm in length and a body height of 6 cm if it is made of a material density of 8 g/cm³. - The cast
The cast in the body of a regular quadrilateral pyramid with a base edge 60 cm long and 5 cm high is made of a material with a density of 7.8 g/cm cubic. Calculate its weight. - Base side
In a quadrilateral prism, are known surface area S = 12400 mm2, base side m = 40mm, and prism height = 120mm. What is the length of base side n =? - The regular
The regular quadrilateral pyramid has a volume of 24 dm³ and a height of 45 cm. Calculate its surface.
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