# 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: 1947

• Triangle 42 Triangle BCA. Angles A=119° B=(3y+14) C=4y. What is measure of triangle BCA=?
• Waste How many percents are waste from a circular plate with a radius of 1 m from which we cut a square with the highest area?
• Pipe cross section The pipe has an outside diameter 1100 mm and the pipe wall is 100 mm thick. Calculate the cross section of this pipe.
• OPT What is the perimeter of a right triangle with the legs 14 cm and 21 cm long?
• Unit vector 2D Determine coordinates of unit vector to vector AB if A[-6; 8], B[-18; 10].
• Perimeter from area What is the perimeter of the square if its content is 64 cm2?
• Angles ratio The internal angles of a triangle are in ratio 1:4:5. What kind of triangle is it? (solve interior angles and write down and discuss)
• Diagonal to area Calculate the area of a rectangle in which the length of the diagonal is 10 cm.
• Area of ditch How great content area will have a section of trapezoidal ditch with a width of 1.6 meters above and below 0.57 meters? The depth of the ditch is 2.08 meters.
• Isosceles Isosceles trapezium ABCD ABC = 12 angle ABC = 40 ° b=6. Calculate the circumference and area. Ladder 10 meters long is staying against the wall so that its bottom edge is 6 meters away from the wall. What height reaches ladder?
• As shown As shown, in △ ABC, ∠C = 90°, AD bisects ∠BAC, DE⊥AB to E, BE = 2, BC = 6, then the perimeter of △ BDE
• n-gon II What is the side length of the regular 5-gon circumscribed circle of radius 11 cm?
• n-gon What is the side length of the regular 5-gon inscribed in a circle of radius 12 cm?
• Chord of triangle If the whole chord of the triangle is 14.4 cm long, how do you calculate the shorter and longer part?
• Square diagonal Calculate the length of the square diagonal if the perimeter is 476 cm.
• Rectangle The rectangle area is 182 dm2, its base is 14 dm. How long is the other side? Calculate its perimeter.
• Cube and sphere Cube with the surface area 150 cm2 is described sphere. What is sphere surface?
• 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.
• RT - hypotenuse and altitude Right triangle BTG has hypotenuse g=117 m and altitude to g is 54 m. How long are hypotenuse segments?

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