# 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: 2258

• Inner angles The magnitude of the internal angle at the main vertex C of the isosceles triangle ABC is 72°. The line p, parallel to the base of this triangle, divides the triangle into a trapezoid and a smaller triangle. How big are the inner angles of the trapezoid?
• The cone - S,V Calculate the volume and surface area of the cone if its radius r = 6 cm and side s = 10 cm.
• 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.
• Calculate Calculate the height of an isosceles triangle with base 37.8 mm long and an arm 23.1 mm long.
• Průměr kužele Vypočtěte povrch a objem rotačního kužele jehož průměr je 60mm a délka strany 3.4 cm.
• Scale factor 2 Nadeem has a 10 inch by 10 inch photo album. He wants to make as large a copy of the original photo as possible to fit the album. Whats are the largest dimensions the copy can be if he keeps the proportion of the original photo? Explain your answer. .. .
• Total area Calculate the total area (surface and bases) of a prism whose base is a rhombus which diagonals of 12cm and 18cm and prism height are 10 cm.
• The land The land, which has dimensions of 220 m and 308 m, the owner wants to divide into equally large square plots with the largest possible area. How long will one side of the plot be?
• Iglu - cone tent The cone-shaped tent is 3 m high, the diameter of its base is 3.2 m. a) The tent is made of two layers of material. How many m2 of fabric is needed for production (including flooring) if 20% needs to be added to the minimum amount due to cutting waste? b)
• Constant Angular Acceleration The particle began to move from rest along a circle with a constant angular acceleration. After five cycles (n = 5), its angular velocity reached the value ω = 12 rad/s. Calculate the magnitude of the angular acceleration ε of this motion and the time int
• An architect An architect makes a model of a new house. The model shows a tile patio in the backyard. In the model, each tile has a length of 1/2 inch and a width of 1/6 inch. The actual tiles have a length of 2/3 feet and a width of 2/9 feet. What is the ratio of the
• Angles of a hexagon Find the interior angles of a hexagon if the sizes of the angles form an arithmetic sequence, and the smallest angle is 70°.
• Is right triangle Find out if the triangle ABC (with right angle at the vertex C) is right if: a) a = 3dm, b = 40cm, c = 0.5m b) a = 8dm, b = 1.2m, c = 6dm
• Cuboid edges The lengths of the cuboid edges are in the ratio 2: 3: 4. Find their length if you know that the surface of the cuboid is 468 m2.
• The pool The cube-shaped pool has 140 cubic meters of water. Determine the dimensions of the bottom if the depth of the water is 200 cm and one dimension of the base is 3 m greater than the other. What are the dimensions of the pool bottom?
• Rhombus and diagonals The lengths of the diamond diagonals are e = 48cm, f = 20cm. Calculate the length of its sides.
• Copper winding Calculate the current flowing through the copper winding at an operating temperature of 70°C. Celsius, if the winding diameter is 1.128 mm and the winding length is 40 m. The winding is connected to 8V.
• The sides 3 The sides of an equilateral triangle are 9.4 cm, correct to the nearest one decimal place. Work out the upper bound of the side of this triangle.
• Length 7 Length equals 7/6 inch in width equals 7/9 inches the area is?
• Swimming pool A swimming pool 30 meters long is filled with water to a depth of 1 meter at the shallow end, and 5 meters at the deep end and abcd the vertical area of the pool has the shape of a trapezium with the area given by S(abcd)= 1/2 (ab + cd) x ad. What is the

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