# 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: 1973

• 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?
• Perimeter and diagonal
The perimeter of the rectangle is 82 m, the length of its diagonal is 29 m. Find the dimensions of the rectangle.
• Decide 2
Decide whether points A[-2, -5], B[4, 3] and C[16, -1] lie on the same line
• Tree trunk
What is the smallest diameter of a tree trunk that we can cut a square-section square with a side length of 20 cm?
• On line
On line p: x = 4 + t, y = 3 + 2t, t is R, find point C, which has the same distance from points A [1,2] and B [-1,0].
• Cone
Calculate the volume of the rotating cone with a base radius 26.3 cm and a side 38.4 cm long.
• The cube
The surface of the cube is 150 square centimeters. Calculate: a- the content of its walls b - the length of its edges
Average climb of the road is given by ratio 1:15. By what angle road average climb?
• The storm
The top of the 5 m high mast deviated by 1 m from the original vertical axis after the storm. What is the peak now? Round to 2 decimal places.
• Clocks
How long track travel the second hand in 46 hours, the end of which is 4 cm long.
• Interesting property
Plot a rectangular shape has the interesting property that circumference in meters and the area in square meters are the same numbers. What are the dimensions of the rectangle?
• Parametric form
Calculate the distance of point A [2,1] from the line p: X = -1 + 3 t Y = 5-4 t Line p has a parametric form of the line equation. ..
• Sandbox
Sandbox has area of 32 sq ft and length of 4 1/2 ft. What is width of sandbox.
• Perimeter of circle
Calculate the circumference of described circle to the triangle with sides 9,12,15 cm.
• High wall
I have a wall 2m high. I need a 15 degree angle (upward) to second wall 4 meters away. How high must the second wall?
• Area of rectangle
How many times will increase the area of the rectangle, if we increase twice the length and at the same time we decrease the width by the half?
• Uphill garden
I have a garden uphill, increasing from 0 to 4.5 m for a length of 25 m, how much is the climb in percent?
• Cable car
Find the elevation difference of the cable car when it rises by 67 per mille and the rope length is 930 m.
• Saw
Blade circular saw with a diameter 42 cm turns 825 times per minute. Expresses his cutting speed in meters per minute.

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