Planimetrics - practice problemsStudy plane measurements, including angles, distances, and areas. In other words - measurement and calculation of shapes in the plane. Perimeter and area of plane shapes.
Number of problems found: 1723
- Iso triangle
An isosceles triangle with a base of 8 cm. Its circumference is 28 cm. Calculate the height of the triangle.
- The diagonals
The diagonals in the diamond ABCD are 6 cm and 8 cm long. What is the perimeter of this diamond?
- Coat of arms
The class created its own coat of arms, which had a shape composed of an isosceles trapezoid ABCD (shorter base is a = 4.5 cm long, longer 2a = 9 cm, trapezoid height 6 cm) and a semicircle with center S and diameter AB. The trapezoid was formed by three
- How long
How long is the diagonal of the square with side a = 50mm?
- Rectangular field 4
Find the perimeter of a rectangular field whose length measures 5.20 m and its width measures 3.4 m. (Use the formula: Perimeter= 2L+2W)
The rectangular trapezoid ABCD with right angle at the vertex A has sides a, b, c, d. Calculate the circumference and the area of the trapezoid if given: a = 25cm, c = 10cm, d = 8cm
- Complex plane mapping
Show that the mapping w = z +c/z, where z = x+iy, w = u+iv and c is a real number, maps the circle |z| = 1 in the z-plane into an ellipse in the (u, v) plane.
- Circle inscribed
There is a triangle ABC and a circle inscribed in this triangle with radius 15. The point T is the point of contact of the inscribed circle with the side BC. What is the area of the triangle ABC if | BT | = 25 a | TC | = 26?
- Perimeter - rectangle
Find the perimeter of the rectangle. A rectangle with a base of (3 5/6) m and a height of (2 3/7) m Its perimeter is x= meters. (Use fraction in your answer. )
- Perimeter of rhombus
The area of the rhombus is 32 cm². One side of it measures 10 cm. The height on the other side measures 5 cm. What is the circumference of this rhombus?
- 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 DAB and DBC are right.
- Triangular land
Jana has a rectangular garden measuring 30 meters by 72 meters that she wants to split diagonally from corner to corner using a fence. How long does her fence need to be?
- Equilateral triangle
Find the area of an equilateral triangle with a side of 15 cm.
- Perimeter of a rectangle
Find the perimeter of a rectangle with a length of 1/2 feet and a width of 1 1/3 feet
- Height of right RT
The right triangle ABC has a hypotenuse c 9 cm long and a part of the hypotenuse cb = 3 cm. How long is the height of this right triangle?
- Four sides of trapezoid
Calculate the area of the ABCD trapezoid with sides a = 65 cm, b = 29 cm, c = 40 cm, d = 36 cm
- Isosceles triangle
Calculate the area of an isosceles triangle, the base of which measures 16 cm and the arms 10 cm.
- The square
Calculate the area and perimeter of a square with side a = 15 dm S =, O =
- Round table
A tablecloth should be sewn on a round table with a diameter of 78 cm, which should extend around the table by 10 cm. How many cms of ribbons need to be bought for edging?
- Diamond area from diagonals
In the diamond ABCD is AB = 4 dm and the length of the diagonal is 6.4 dm long. What is the area of the diamond?
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