# 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.- Trapezoid ABCD

ABDC is a trapezoid in which AB and CD are parallel sides measuring 6 and 9 respectively. Angles ABC and BCD are both right angles. Find the length of segment BD. - RT leg and perimeter

Calculate the length of the sides of a right triangle ABC with hypotenuse c when the length of a leg a= 84 and perimeter of the triangle o = 269. - Lawns

Before a sports hall are two equally large rectangular lawns, each measuring 40 m and 12 m. Maintenance of 10m² lawn cost 45 CZK yearly. On each lawn is circular flowerbed with a diameter 8 meters. How much money is needed each year to take on lawn care? - Equilateral triangle v2

Equilateral triangle has a perimeter 36 dm. What is its area? - Circle - easy 2

The circle has a radius 6 cm. Calculate: - Angles in triangle

Calculate the alpha angle in the triangle if beta is 61 degrees and 98 gamma degrees. - Chord distance

The circle k (S, 6 cm), calculate the chord distance from the center circle S when the length of the chord is t = 10 cm. - Circle - simple

Calculate the area of a circle in dm^{2}, if its circumference is 31.4 cm. - Bicycle wheel

Bicycle wheel diameter is 62 cm. How many times turns the bicycle on the road 1 km long? - Height of the arc - formula

Calculate the height of the arc if the length of the arc is 77 and chord length 40. Does exist a formula to solve this? - Draw a trapezoid

Draw a trapezoid if given a = 7 cm, b = 4 cm, c = 3.5 cm, diagonal AC = 5cm. Solve as a construction task. - Circle from string

Martin has a long 628 mm string . He makes circle from it. Calculate the radius of the circle. - Internal and external angles

Calculate the remaining internal and external angles of a triangle, if you know the internal angle γ (gamma) = 34 degrees and one external angle is 78 degrees and 40 '. Determine what kind of triangle it is from the size of its angles. - Right triangle ABC

Calculate the perimeter and area of a right triangle ABC, if you know the length of legs 4 cm 5.5 cm and 6.8 cm is hypotenuse. - Clock

What distance will pass end of 8 cm long hour hand for 15 minutes? - Annulus

Calculate the area of two circles annulus k_{1}(S, 3 cm) and k_{2}(S, 5 cm). - Rhombus A2p

Rhombus area is 13 cm^{2}and its height is 5cm long . Determine a perimeter of this rhombus. - Office rent

For rent 1m^{2}of office space is paid €165 per year. How much is the annual rent for an office as big as a football field with dimensions 71.5 m and 102.5 m? - Roof tiles

The roof has a trapezoidal shape with bases of 15 m and 10 m, height of roof is 4 meters. How many tiles will need if on 1 m^{2}should be used 8 tiles? - Grass seeds

How many kg of grass seed is needed to be sowing a circular field with a diameter of 120 meters when the 1 m^{2}should be used 0.8 grams seeds?

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