# 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

- XY triangle

Determine the area of a triangle given by line 7x+8y-69=0 and coordinate axes x and y. - R triangle

Calculate the right triangle area whose longer leg is 6 dm shorter than the hypotenuse and 3 dm longer than the shorter leg. - Fountain

The stone fountain, which has the shape of a cylinder with a diameter of 3 m, is 70 cm deep. How many m^{2}of stone is wetted with water? - Surface area

Calculate the surface area of a four-sides 2-m high prism which base is a rectangle with sides 17 cm and 1.3 dm - Hexagon area

The center of the regular hexagon is 21 cm away from its side. Calculate the hexagon side and its area. - Chimney

Lower circumference of of the chimney is 12.57 m, top circumference is 5.655 m. The slope of the walls is 87°. Determine the height of the chimney. - Round table tablecloth

Round table has area 50.24 dm^{2}. Calculate the diameter of the circular tablecloth, if it is extend beyond the edge of the table by 30 cm. - Running

The length of the inner edge of the running oval is 400 m. The straight sections measure 90 m. Calculate the dimensions of the oval - the rectangle where this oval can fit. - In the

In the national park, the ratio of the wooded area to grassland is 4: 1. The total area is 385km2. What area is wooded? - Area of a triangle

What is the area of a triangle that has the base 4 1/4 and the height of 3 3/3? - Set of coordinates

Consider the following ordered pairs that represent a relation. {(–4, –7), (0, 6), (5, –3), (5, 2)} What can be concluded of the domain and range for this relation? - Average speed

What is the average speed you have to move the way around the world in 80 days? (Path along the equator, round to km/h). - Quadrilateral pyramid

Calculate the volume of a quadrilateral pyramid, the base of which has the shape of a rectangle with dimensions a = 6cm, b = 4cm and height v = 11cm - Strip

From 5.9 cm wide strip should be cut rhombus with area 28 cm^{2}. How long will be its side? - Fire tank

1428 hl of water is filled in a block-shaped fire tank with the edges of the base 12 m and 7 m. Calculate the content of water-wetted areas. - Gold wire

From one gram of gold was pulled wire 2.1 km length. What is it diameter if density of Au is ρ=19.5 g/cm^{3}? - Hectare

The rectangular plot has a width of 2500 cm and is 0.065 km long. How many CZK will we pay for covering the land with a lawn at the price of CZK 3,500 per hectare? - 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? - Rope slack

Between two streets, 20 m away, give the lamp in the middle and hanging 60 cm below the taut rope. Can it be done with a 20.5 meters rope? - Traffic sign

There is a traffic sign for climbing on the road with an angle of 7%. Calculate at what angle the road rises (falls).

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