Rhombus practice problems - page 10 of 11
Number of problems found: 205
- Construct
Construct a rhombus ABCD with side a = 7 cm, b = 5 cm, whose diagonal e is perpendicular to side b. - Rhombus construction
ABCD rhombus construction entered: a + b = 9 cm; AC = 4.5 cm; height ha = 3.5 cm How long do sides a and b measure? - Two patches
Peter taped the wound with two rectangular patches (one over the other to form the letter X). The area sealed with both patches simultaneously had an area of 40 cm² and a circumference of 30 cm. One of the patches was 8 cm wide. What was the width of the - Quadrilateral prism
Calculate the surface of a quadrilateral prism according to the input: Area of the diamond base S1 = 2.8 m2, length of the base edge a = 14 dm, the prism height 1,500 mm. - Support colum
Calculate the support column's volume and surface. It is shaped as a vertical quadrilateral prism whose base is a rhombus with diagonals u1 = 102 cm and u2 = 64 cm. The column height is 1. 5 m. - Square equal rhombus
Construct a square that has the same area as a rhombus ABCD if |AB| = 5 cm, |AD| = 4 cm, and angle |DAB| = 30°. - 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? - Prism + rhomboid
The prism-shaped vessel with a rhomboid base has one base diagonal of 10 cm and the edge of the base 14 cm. The edge of the base and the prism height are in a ratio of 2:5. How many liters of water is in the container when it is filled to four-fifths of t - 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? - Trapezoid
In a right-angled trapezoid, are the diagonals perpendicular to each other, and do they bisect the angles? - Circle in rhombus
A circle is inscribed in a rhombus. The points of tangency divide each side into segments of length 14 mm and 9 mm. Calculate the area of the circle. - Quadrilateral prism
The base of the quadrilateral prism is a diamond with diagonals of 7 and 9 cm. The height of the prism is 22 cm. What is the area? - Cardboard box
We want to make an open-top cardboard box in the shape of a quadrilateral prism with a rhombus-shaped base. The rhombus has a side of 5 cm and one diagonal of 8 cm. The height of the box is 12 cm. How many square centimetres of cardboard are needed if ove - Parallelogram diagonals
Find the area of a parallelogram if the diagonals u1 = 15 cm and u2 = 12 cm and the angle formed by them is 30 degrees. - Box
The cardboard is a box-shaped quadrilateral prism with a rhombic base. Rhombus has a side 5 cm, one diagonal 8 cm long, and the box's height is 12 cm. The package will open at the top. How many cm² of cardboard do we need to cover overlap and joints that - Quadrilaterals
Which of the following statements about angles in quadrilaterals is false? a. In a right-angled trapezoid, exactly one interior angle is obtuse. b. The diagonals of a rhombus are perpendicular to each other. c. The sum of any two interior angles on the sa - Parallelogram - A+p
Calculate the area and perimeter of a parallelogram if side a = 5.2 cm and height to side is va = 4 cm (it is a parallelogram, not a triangle) - Parallelogram - diagonals
Suppose a parallelogram ABCD, the length of one of its diagonals is equal to that of one of its sides. What are the interior angles of this parallelogram? - 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
Calculate area of the parallelogram ABCD as shown if |AB| = 13 cm, |BC| = 99 cm and angle BAD = 100°
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