# 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.

1. Diagonals Rhombus has two diagonals e=14 dm and f=11 dm. Calculate the side angle and height of the rhombus.
2. Oil rig Oil drilling rig is 23 meters height and fix the ropes which ends are 7 meters away from the foot of the tower. How long are these ropes?
3. Boat A force of 300 kg (3000 N) is required to pull a boat up a ramp inclined at 14° with horizontal. How much does the boat weight?
4. Maple Maple peak is visible from a distance 3 m from the trunk from a height of 1.8 m at angle 62°. Determine the height of the maple.
5. n-gon II What is the side length of the regular 5-gon circumscribed circle of radius 11 cm?
6. n-gon What is the side length of the regular 5-gon inscribed in a circle of radius 12 cm?
7. Diagonal Diagonal of the rectangle has length 46.4 cm. Angle between diagonal and londer sife of rectangle is 22°. Calculate area of the rectangle.
8. Parallelogram - side Calculate the length of the side of a parallelogram whose area is 175 dm2 and height to that side is 24.2 dm long.
9. Parallelogram Calculate the area and perimeter of a parallelogram whose two sides are long a=24 cm b=22 cm and height ha = 6 cm long.
10. Diagonal Calculate the length of the diagonal of the rectangle ABCD with sides a = 8 cm, b = 7 cm.
11. Arm Calculate the length of the arm r of isosceles triangle ABC, with base |AB| = 14 cm and a height v=18 cm.
12. Trapezium Determine the height of the trapezium ABCD, which has area 77.5 cm2 and base lengths 16 cm and 15 cm.
13. Built-up area John build up area 5 x 7 = 35 m2 with building with a wall thickness 30 cm. How many centimeters would have to subtract from thickness of the walls that built-up area fell by 9%?
14. Surveyor Calculate the area of ​​what may vary rectangular, if it focused by surveyor and found the dimensions 18 x 15 m while in each of the four joint points can be position deviation 25 cm?
15. Gon functions Decide which of the numbers (values ​​of trigonometric functions) are positive and which are negative (or zero). Positive mark +1 and negative -1.
16. Rectangle Calculate perimeter of the rectangle with sides a=2.4 m and b=1.9 m. Calculate the radius of the quadrant, which area is equal to area of circle with radius r = 15 cm.
18. Thales Calculate the length of the Thales' circle described to right triangle with hypotenuse 18.4 cm.
19. Tiles How many 46 cm square tiles will cover a floor 22.08 m by 8.74 m?
20. Base Compute base of an isosceles triangle, with the arm a=20 cm and a height above the base h=10 cm.

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