Rhomboid practice problems
A rhombus is a quadrilateral with all four sides of equal length, where opposite sides are parallel and opposite angles are equal. It is a special type of parallelogram (and also a special case of a kite and a parallelogram).If all angles are right angles (90°), then the rhombus is also a square.
Direction: Solve each problem carefully and show your solution in each item.
Number of problems found: 48
- Tetrahedral prism
Calculate the area and volume of a tetrahedral prism that has a base rhomboid shape, and its dimensions are: a = 12 cm, b = 70 mm, v_a = 6 cm, v_h = 1 dm. - Rhumbline
Find the circumference and area of the rhumbline ABCD if the short side AD has a length of 5 cm, and the heel of the height from D leading to the AB side divides the AB side into two sections of 3 cm and 4 cm. - Rhombus height calculation
Calculate the height of the rhombus ABCD on the side a if a = 58 dm and its area is 49.3 m2 - Rhombus calculation complete The rhombus has the dimensions a = 9.1 cm; b = 8 cm; height to side a: va = 7.3 cm. Calculate the circumference, area, and size of the second height.
- Rhombus perimeter
Calculate the circumference of a rhombus, one side of which is 6 cm long, and the height of this side is 2 cm long. The height on the other side is 4 cm long. - Calculate rhombus
Calculate the height of the rhombus ABCD on side BC if AB=7cm, BC=5.5cm, and the height of the first side on AB=4.4cm. - Rhombus Side Length Calculate the length of a side of a rhombus if you know that the perimeter of the rhombus is 19.88 mm and one side is 4.34 mm long.
- Parallelogram
Rhomboid (parallelogram) has a longer side of 50 cm long. The size of its one height is four times the size of its second height. Calculate the length of the shorter side of this rhomboid in centimeters. - Parallerogram
The ABCD parallelogram is a = 2.5 cm, height to side a is 7.2 cm and height to side b is 4 cm. Find the side length b. - Fence boards
The fence around the garden is made of rhombus-shaped laths with a side 30 cm long and 1.6 m high. How many square meters of boards are needed to make a fence of 300 laths? - Grass seed How many kilograms of grass seed are needed to establish a lawn on a rhombus-shaped plot of land with sides 55m and 40m, if the height of the shorter side is 22m and 1kg of seed is enough for 40m square?
- Parallelogram
Side a of a parallelogram is twice longer than side b. Its circumference is 78 dm. Calculate the length of the sides of a parallelogram. - Rhombus Parquet Room Area
The parquet floors in the room have the shape of a rhombus with a side of 2.5 dm long and a corresponding height of 0.8 dm long. How many square meters does a room have if its floor is made of 600 parquets? - Rhombus Parquet Floor Area The parquet floors in the room have the shape of a rhombus with a side of 2.3 dm long and a corresponding height of 0.9 dm long. How many square meters does the room have if its floor comprises 580 parquets?
- Dusan
a) Dusan breaks two same windows, which have a triangular shape with a length of 0.8 m and a corresponding height of 9.5 dm. Find how much dm² of glass he needs to buy for the glazing of these windows. b) Since the money to fix Dusan has not been, it must - Rhombus - ratio In a rhombus, the ratio of the side to the height to this side is 4 : 1, if its area is 49 cm². Calculate the size of the side and the height to this side.
- Rhomboid
The rhomboid sides' dimensions are a= |AB|=5cm, b = |BC|=6 cm, and the angle's size at vertex A is 60°. What is the length of the diagonal AC? - Prism
Calculate the surface area and volume of a prism with a body height h = 10 cm, and its base has the shape of a rhomboid with sides a = 5.8 cm, b = 3 cm, and the distance of its two longer sides is w = 2.4 cm. - Rhombus construction
Construct a rhombus ABCD if AB = 5 cm, BD = 6 cm and AC = 3 cm - Perimeter of rhombus
The area of the rhombus is 32 cm². One side measures 10 cm. The height on the other side measures 5 cm. What is the circumference of this rhombus?
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