Planimetrics - math word problems - page 49 of 169
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: 3379
- Calculate 3562
The 16 cm long string is 6 cm from the circle's center. Calculate the length of the circle. - Magnitudes 3304
In triangle ABC, the interior angle at vertex B is 10 degrees greater than the angle at vertex A, and the angle at vertex C is three times greater than the angle at vertex B. Calculate the magnitudes of the interior angles of the triangle. - Circumference 3088
In the parallelogram ABCD, the side AB is three times longer than the side BC. The circumference of the parallelogram is 20 cm. Find the lengths of the sides of the parallelogram. - The area 2
The area of a rectangular piece of tablecloth is 3/4 m². Its width is 3/10 m. What is its length? - Main/central vertex
ABC is an isosceles triangle with base BC and central vertex A. The angle at vertex A is 18°. What will be the size of the angle at vertex B? - Right triangle
A circle with a radius of 5 cm is described in a right triangle with a 6 cm leg. What is the height at the hypotenuse of this triangle? - The ABCD
The ABCD trapezoid has a base length of a = 120mm, c = 86mm and an area of S = 2575 mm². Calculate the height of the trapezoid. - Isosceles trapezoid
Find the area of an isosceles trapezoid; if the bases are 12 cm and 20 cm, the arm's length is 16 cm. - Difference of legs
In a right triangle, the hypotenuse length is 65 m, and the difference between legs is 23 m. Calculate the perimeter of this triangle. - Tiles
The tile has the shape of a square with a side of 15 cm. What dimensions can a rectangle composed of 90 tiles have so that no tile remains? - Median in right triangle
In the rectangular triangle, ABC has known the length of the legs a = 15cm and b = 36cm. Calculate the length of the median to side c (to hypotenuse). - Angle at the apex
In an isosceles triangle, the angle at the apex is 30° greater than the angle at the base. How big are the internal angles? - The diamond
The diamond has 35 cm-wide sides, and the diagonals are in a ratio of 1:2. Calculate the diagonal lengths. - The pole
A 4 m bullet supports the telegraph pole. It is at 3/4 of pole height, and the end is at a distance of 2.5 m from the pole post. Calculate the height of the telegraph pole. - Trapezoid MO-5-Z8
Trapezoid KLMN has bases 12 and 4 cm long. The area of triangle KMN is 9 cm². What is the area of the trapezoid KLMN? - Rectangle
The rectangle has a perimeter of 75 cm. The diagonal length is 32.5 cm. Determine the length of the sides. - Trapezium bases
Find the trapezium height if a = 8 cm and c = 4 cm if its area is 21 square centimeters. - Trapezium
The area of trapezium is 35cm². Find its height if the bases are 6cm and 8cm long. - Grandmother and grandfather
Grandmother baked cakes. Grandfather ate half, then a quarter of the rest ate Peter, and Paul ate half of the rest. There left six cakes for parents. How many cakes were made by the grandmother? - Triangle angles
In a triangle, ABC, the interior angle at vertex C is twice the internal angle at point A. The outer angle at point B measured 117 degrees. How big is the external angle at vertex A?
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