Planimetry - math word problems - page 131 of 187
Number of problems found: 3735
- 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) - Square
The square's side length decreases by 25%, and its area is now 28 cm22 lower. Find the side of the original square. - Quarter circle
What is the radius of a circle inscribed in the quarter circle with a radius of 100 cm? - Percent change
The length of a rectangle is increased by 25%, and the width is decreased by 10%. By what percent is the area of the rectangle larger than the area of the original rectangle? - Circle removal
The student should remove the inner circle with a radius of 3 cm from the circle with a radius of 7 cm. How much of the area of the large circle will be removed? Express result in percent. - Parcel
Both dimensions of the rectangular parcel were increased by 31%. By how much % has it increased its acreage? - Hydraulic patient lifting
A dentist lifted a patient in a chair by 10 cm using a hydraulic device. The mass of the patient with the chair is 100 kg. a) What force did the dentist have to apply to the small piston, if the ratio of the areas of the large and small pistons is S2/S1=2 - Hydrostatics
A) Calculate the hydrostatic pressure at the bottom of the Mariana Trench. The density of seawater is 1,030 kg/m³. What depth do you need to look up in an atlas or on the Internet? B) Calculate the pressure force acting on a submarine with a surface area - Tiles
The room has dimensions of 12 m and 5.6 m. Determine the number of square tiles and their largest possible size to cover the room's floor. - n-gon
Gabriel draws an n-gon, in which angles are consecutive members of an arithmetic sequence. The smallest angle is 120° biggest 160°. How many sides have Gabriel's n-gon? - Smallest internal angle
Calculate what size has the smallest internal angle of the triangle if values of angles α:β:γ = 3:4:8 - Rectangle area dimensions
We are to create a square in the shape of a rectangle with an area of 288 m² (square) so that the sides are whole numbers. What are all the dimensions of the rectangular box we can make? How many is the solution? - Waste
How much of the waste is from a circular plate with a radius of 1 m, from which we cut a square with the highest area? - Court field comparison
The tennis court measures 40.20 meters. The football field measures 40.90 meters. How many times is the football field compared to the tennis court? - Two gardeners
The garden, with an area of 81 square meters, was divided by two gardeners in a ratio of 4:5. How much did the second gardener get more than the first? - Triangle Area and Perimeter
The area of a right triangle is 240 cm². Determine its circumference if the given lengths are suspended in a ratio of 5:12. - Tiles
How many 20 cm and 30 cm tiles can build a square if we have a maximum of 100 tiles? - Trapezoid
The area of a trapezoid is 135 cm². The sides a, c, and height h are in a ratio of 6:4:3. How long are sides a, c, and height h? Perform calculation. - RT area
A right triangle has an area of 54 cm². Calculate the sizes of both legs if the shorter leg is 75% of the size of the longer leg. - Isosceles Triangle Area
In an isosceles triangle, the base length is equal to 75% of the arm's length. If the circumference is 22 cm, determine the area of the triangle.
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