Practice problems of the rhomboid
Direction: Solve each problem carefully and show your solution in each item.Number of problems found: 38
- 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.
- 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.
- Calculate 19653
Calculate the height of the rhombus ABCD on the side a, if a = 58 dm and its area is 49.3 m2
- Circumference 19603
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.
- Circumference 4285
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.
- Constructed 77874
Squares are constructed above the overhangs and the transom. Connecting the outer vertices of adjacent squares creates three triangles. Prove that their contents are the same.
- Rhomboid
The rhomboid sides' dimensions are a= 5cm, b = 6 cm, and the angle's size at vertex A is 60°. What is the length of the side AC?
- Rhomboid
Calculate the circumference and area of the rhomboid with sides 20 and 14, with their angle 50°.
- 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.
- Forces
Forces with magnitudes F1 = 42N and F2 = 35N act at a common point and make an angle of 77°12'. How big is their resultant?
- 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.
- 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-shaped 5348
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?
- Corresponding 5626
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?
- Corresponding 5646
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
- Black building
Keith built building with a rectangular shape 6.5 m × 3.9 m. Calculate how much percent exceeded the limit 25 m² for a small building. A building not built by the law is called a "black building". Calculate the angle that the walls were clenching each oth
- 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.
- Construct 5333
Construct a rhombus ABCD if AB = 5 cm, BD = 6 cm and AC = 3 cm
- Perimeter 7882
The diagonals of the diamond are 2.4 dm and 1.8 dm long. What is the perimeter of this diamond?
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