Planimetrics + quadrilateral - practice problems
Number of problems found: 54
- 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. - Trapezoid
Are diagonals in a rectangular trapezoid perpendicular and bisect the angles? - The perimeter 2
The perimeter of the quadrilateral a = 1m b = 14/5m c = 2 3/10m d = 1 4/5m? - Calculate 30281
One angle of the skeleton is 30 degrees larger than the other. Calculate all its angles.
- 4-gon
Is it true that a 4-gon whose two sides are parallel and the other two have equal length is a parallelogram? - Diamond PQOR
In the diamond PQOR, the diagonal RQ is 4 cm long, and the angle RPQ is 60°. What is the circumference of this diamond? - Quadrilateral
In the square ABCD point, P is in the middle of the DC side, and point Q is in the middle of side AD. If the area of quadrilateral BQPC is 76 cm², what is the area of ABCD? - The quadrilateral
The quadrilateral ABCD is composed of two right triangles, ABD and BCD. For side lengths: |AD| = 3cm, | BC | = 12cm, | BD | = 5cm. How many square centimeters (area) does the quadrilateral ABCD have? The angles of DAB and DBC are right. - Parallelogram ABCD
The area of parallelogram ABCD is 902 cm². Points M and N are the midpoints of the sides AB and BC. What is the area of a quadrilateral MBND?
- Quadrilateral-trapezoid 3172
We cut two triangles from the rectangular plate so that the resulting quadrilateral-trapezoid with the same arm lengths has an area of 32 cm2, and one of its bases is twice as long as the other. What is the area of the two triangles that make u - Quadrilateral 23881
Calculate the height of a regular quadrilateral prism whose base is a rhombus. The edge in the base is 7 cm long, the opposite edges are 5 cm apart, and we also know that the entire body has a volume of 1dm³. - The perimeter 6
The perimeter of the quadrilateral is 442.95 cm. The three known sides measure 84.56 cm,132.77 cm, and 82.75 cm. How long is the fourth side? - Quadrilateral 7583
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 - 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?
- Six-fourteenths 7295
Seven twelfth windows in the castle are in the shape of an n-gon. Six-fourteenths of these windows are quadrangular in shape, while two-ninths of them are square windows. How many windows are there in the castle if there are 15 square windows? - Quadrilateral eq3
Three sides of a quadrilateral are equal to the foreside, which is 16 cm long. What is the length of the one with equal sides if the perimeter is 58 cm? - Quadrilateral 45081
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? - Rectangular 61183
Mr. Nový exchanged his rectangular plot of 5.2 hectares with his neighbor for two. The first plot has the shape of a square with a side of 70 m, and the second has the shape of a rectangle with dimensions of 110 m and 410 m. After the exchange, does the n - Quadrilateral 66614
The picture shows a square ABCD with the center S and the side 8 cm long. Point E is any point on the CD side other than C and D. Calculate the area of the ASBE quadrilateral in cm².
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