Parallelogram practice problems - page 4 of 5
Instructions: Solve each problem carefully and provide a detailed solution for every item.Number of problems found: 90
- Garden exchange
The garden has a rectangular trapezoid shape, the bases of which have dimensions of 60 m and 30 m and a vertical arm of 40 m. The owner exchanged this garden for a parallelogram, which is 7/9 of the area of a trapezoidal garden. What is the size of the ne - Lace table edge
The old woman crocheted 1 meter of lace. Will it be enough to edge a parallelogram-shaped table with dimensions 35 cm and 16 cm? - Parallelogram
The perimeter of the parallelogram is 190 cm. The length of one side is 1.3-times longer than the length of the shorter side. What is the length of the sides of a parallelogram? - Diamond area calculation
Calculate a diamond's area with a circumference of 51.2 cm and a height of 9.6 cm. - Children playground
The playground has a trapezoid shape, and the parallel sides have a length of 36 m and 21 m. The remaining two sides are 14 m long and 16 m long. Find the size of the inner trapezoid angles. - 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. - 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. - 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 - Rectangle - parallelogram
A rectangle is circumscribed by a circle with a radius of 5 cm. The short side of the rectangle measures 6 cm. Calculate the perimeter of a parallelogram ABCD, whose vertices are the midpoints of the sides of the rectangle. - Parallelogram ABCD
We have the parallelogram ABCD, where AB is 6.2 cm; BC is 5.4 cm and AC is 4.8 cm. Calculate the height on the AB side and the angle DAB. - Coordinates
Determine the coordinates of the vertices and the area of the parallelogram, the two sides of which lie on the lines 8x + 3y + 1 = 0, 2x + y-1 = 0, and the diagonal on the line 3x + 2y + 3 = 0 - Trapezoid
Calculate the area of trapezoid ABCD with sides |AB|= 78 cm, |BC|=51 cm, |CD|=15 cm, |AD|=30 cm.. - Triangle parallelogram construction
Construct triangle ABC if c = 5cm, b = 7cm and a = 4cm. Then create a parallelogram axially symmetric with the line AC. Measure the size of the second diagonal of this quadrilateral. - Parallelogram ABCD
The area of parallelogram ABCD is 906 cm². Points M and N are the midpoints of the sides AB and BC. What is the area of a quadrilateral MBND? - Three vectors
The three forces whose amplitudes are in ratio 9:10:17 act in the plane at one point to balance. Determine the angles of each of the two forces. - Parallelogram perimeter construction
Assembly parallelogram ABCD: AB = 4.8cm, va = 3cm, BC = 4cm. Calculate the circuit. Make a sketch. - Parallelogram
Find the parallelogram's perimeter, where base a = 8 cm, height v = 3 cm, and angle alpha = 35° is the magnitude of the angle at vertex A. - Quadrilateral Interior Angles
For the sizes of the interior angles of the quadrilateral ABCD, the following applies: the angle alpha is 26° greater than the angle beta, twice the angle Beta is 5° less than the angle gamma, and the angle gamma is 36° greater than the angle delta. Deter - Chords centers
The circle has a diameter of 17 cm, upper chord |CD| = 10.2 cm, and bottom chord |EF| = 7.5 cm. The chords H and G midpoints are |EH| = 1/2 |EF| and |CG| = 1/2 |CD|. Find the distance between the G and H if CD II EF (parallel).
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