# 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: 2141

• Ladder 8.3 meters long ladder is leaning against the wall of the well, and its lower end is 1.2 meters from this wall. How high from the bottom of a well is the top edge of the ladder?
• Triangle The triangle has known all three sides: a=5.5 m, b=5.3 m, c= 7.8 m. Calculate area of ​this triangle.
• Box Cardboard box-shaped quadrangular prism with a rhombic base. Rhombus has a side 5 cm, and one diagonal 8 cm long, and the box's height is 12 cm. The box will open at the top. How many cm2 of cardboard do we need to cover overlap and joints that are 5% of
• Diamond Rhombus has side 17 cm and and one of diagonal 22 cm long. Calculate its area.
• Distance What is the distance between the origin and the point (18; 22)?
• Vectors Vector a has coordinates (8; 10) and vector b has coordinates (0; 17). If the vector c = b - a, what is the magnitude of the vector c?
• Vector sum The magnitude of the vector u is 12 and the magnitude of the vector v is 8. Angle between vectors is 61°. What is the magnitude of the vector u + v?
• Triangle Determine if it is possible to construct a triangle with sides 28 31 34 by calculation.
• Pizza Pizza with a diameter 50 cm have weight 559 g. What diameter will have a pizza weighing 855 g if it is make from the same cloth (same thickness....) and same decorated?
• Leg Determine the trapezoid area with bases 71 and 42, and the height is 4 shorter than its leg.
• Cosine Calculate the cosine of the smallest internal angle in a right-angled triangle with cathetus 3 and 8 and with the hypotenuse 8.544.
• 6-gon Perimeter of regular hexagon is 113. Calculate its circumradius (radius of circumscribed circle).
• Well Rope with a bucket is fixed on the shaft with the wheel. The shaft has a diameter 50 cm. How many meters will drop bucket when the wheels turn 15 times?
• Diagonals Calculate the length of the rhombus's diagonals if its side is long 5 and one of its internal angles is 80°.
• Inscribed rectangle The circle area is 216. Determine the area of inscribed rectangle with one side 5 long.
• ISO trapezium Calculate area of isosceles trapezoid with base 95 long, leg 27 long and with the angle between the base and leg 70 degrees.
• Combi-triangle On each side of the square is marked 10 different points outside the vertices of the square. How many triangles can be constructed from this set of points, where each vertex of the triangle lie on the other side of the square?
• Angle between vectors Find the angle between the given vectors to the nearest tenth of a degree. u = (-22, 11) and v = (16, 20)
• 30-60-90 The longer leg of a 30°-60°-90° triangle measures 5. What is the length of the shorter leg?
• CD disc A compact disc has a diameter of 11.8 cm. What is the surface area of the disc in square centimeters?

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