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

  • An experiment
    rain The three friends agreed to the experiment. At the same time, they all took out an empty cylindrical container on the windowsill and placed it so that it was horizontal. Everyone lives in a different village, and each used a container with a different bot
  • The rectangular
    rt_licho The rectangular trapezoid has bases 15 dm and 8 dm long and the length of the inclined arm is 12 dm. How long is the other arm of the trapezoid?
  • Parallelogram ABCD
    rovnobeznik We have the parallelogram ABCD, where AB is 6.2 cm BC is 5.4 cm AC is 4.8 cm calculate the height on the AB side and the angle DAB
  • School model
    jehlan_4b_obdelnik The beech school model of a regular quadrilateral pyramid has a base 20 cm long and 24 cm high. Calculate a) the surface of the pyramid in square decimeters, b) the mass of the pyramid in kilograms if the density of the beech is ρ = 0,8 g/cm ^ 3
  • Paper cutting
    rectangle Susanna is cutting construction paper into rectangles for a project. She needs to cut one rectangle that is 10 inches × 14 1/2 inches. She needs to cut another rectangle that is 10 1/3 inches by 10 1/2 inches. How many total square inches of construction
  • Father's garden
    garden John's father has a garden in the back yard. The dimensions of the garden are shown here. A green rectangle is shown. The width is labeled as 2 and two-thirds feet. The length is labeled as 7 and three-fourths feet. Calculate the area of the garden. You f
  • Joanne
    garden Joanne and Roger are planting a rectangular garden. The garden is 8 1/2 ft by 13 ft. They want to use half of the garden for cucumbers and half of the garden for tomatoes. They decide to separate the garden into two right triangles. What is the area of th
  • Rectangular land
    rectangles Due to the new road, the longer dimension of the rectangular plot had to be shortened by 4 percent and the shorter dimension shortened by 10 percent. By how many percent has the area of land decreased?
  • The conical roof
    strecha The conical roof above the warehouse has a diameter of the lower part (base) d = 11.2 m and a height v = 3.3 m. How many rectangular steel plates with dimensions of 1.4 m and 0.9 m were needed for the production of this roof, if the seams and waste requir
  • A butter
    cube_shield A butter cube with an edge 6.5 cm long is packed in a package with dimensions a = 28 cm, b = 15 cm. Calculate how many cm2 the package is larger than the surface of the cube.
  • Length of the chord
    tetiva2 Calculate the length of the chord in a circle with a radius of 25 cm with a central angle of 26°.
  • Isosceles trapezoid
    rr_lichobeznik Find the height in an isosceles trapezoid if the area is 520 cm2 and the base a = 25 cm and c = 14 cm. Calculate the interior angles of the trapezoid.
  • Diamond and angles
    koso Find the area of a diamond with a side of 5 cm if you know that the internal angles in the diamond are 60° and 120°.
  • Parallelogram diagonals
    kosodlznik Find the area of a parallelogram if the diagonals u1 = 15 cm, u2 = 12 cm and the angle formed by them is 30 degrees.
  • Poisson distribution - daisies
    Poisson_distribution The meadow behind FLD was divided into 100 equally large parts. Subsequently, it was found that there were no daisies in ten of these parts. Estimate the total number of daisies in the meadow. Assume that daisies are randomly distributed in the meadow.
  • MIT 1869
    1896_VS_RT You know the length of hypotenuse parts 9 and 16, at which the hypotenuse of a right triangle is divided by a perpendicular running from its opposite vertex. The task is to find the lengths of the sides of the triangle and the length of the line x. This a
  • Draw a
    60-a-b Draw a triangle ABC, if you know: alpha = 60° side b = 4 cm side a = 10 cm
  • Center of gravity and median
    rr_triangle2 In the isosceles triangle ABC, the center of gravity T is 2 cm from the base AB. The median parallel to the AB side measures 4 cm. What is the area of the ABC triangle?
  • Pumpkin pie
    pumpkin pie Have some pumpkin pie. One half of the pie is cut into 4 equal slices, the other half is cut into 3 equal slices. After eating one of the larger slices (on the 3 piece side), I wonder if I will eat more if I have one more from the 3 side, or two from the
  • Round cake
    cake What is the area of a round cake with a radius of 5cm?

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