# Planimetrics - math word 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: 1973

• Coordinates of square vertices The ABCD square has the center S [−3, −2] and the vertex A [1, −3]. Find the coordinates of the other vertices of the square.
• Chord - TS v2 The radius of circle k measures 87 cm. Chord GH = 22 cm. What is TS?
• Building base Excavation for the building base is 350x600x26000. Calculate its volume in m3.
• Wiring Conduit has a cross section 482 mm. Maybe put it into 6 conductors with a cross section S2 \$mm2?
• Interior angles Calculate the interior angles of a triangle that are in the ratio 2: 3: 4.
• Mysterious area The trapezoid ABCD is given. Calculate its area if the area of the DBC triangle is 27 cm2.
• An equilateral triangle The perimeter of an equilateral triangle is 33cm. How long is each side?
• Find the 9 Find the missing angle in the triangle and then name triangle. Angles are: 95, 2x+15, x+3
• Windbreak A tree at a height of 3 meters broke in the windbreak. Its peak fell 4.5 m from the tree. How tall was the tree?
• Circular arc Calculate the length of the circular arc if the diameter d = 20cm and the angle alpha = 142 °
• Find diagonal Find the length of the diagonal of a cuboid with length=20m width=25m height=150m
• Rectangle Anton Difference between length and width of the rectangle is 8. Length is 3-times larger than the width. Calculate the dimensions of the rectangle.
• Square prism A square prism has a base with a length of 23 centimeters, what is the area in square centimeters of the base of the prism?
• Midpoints Triangle whose sides are midpoints of sides of triangle ABC has a perimeter 45. How long is perimeter of triangle ABC?
• Find the Find the radius of the circular base of the vessel, whose perimeter is 2.51 m. Write the result to one decimal place in meters. Via the π sign - Ludolph's number
• EQL triangle Calculate inradius and circumradius of equilateral triangle with side a=77 cm.
• Find the Find the volume of a quadrangle prism high 2dm whose base is a square with a side 15cm.
• Is right? Is a triangle with sides 51, 56, and 77 right triangle?
• Tetrahedron What is the angle of the sides from the base of a three-sided pyramid where the sides are identical?
• Square glass What is the area of the square window glass with the side 4 dm? Do you know how many cm2 is it?

Do you have an interesting mathematical word problem that you can't solve it? Submit a math problem, and we can try to solve it.

We will send a solution to your e-mail address. Solved examples are also published here. Please enter the e-mail correctly and check whether you don't have a full mailbox.

Please do not submit problems from current active competitions such as Mathematical Olympiad, correspondence seminars etc...