# Planimetrics - practice problems

Study 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) - Trapezoid

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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