Planimetry - math word problems - page 122 of 187
Number of problems found: 3739
- Trapezoid section area
The cross-section of the railway embankment is an isosceles trapezoid, the bases of which are in a ratio of 5:3. The arms have a 5 m embankment height v = 4.8 m. Calculate the section area S. - Gardens
The garden has a square shape with a circumference of 124 m. Divide it into two rectangular gardens; one should have a circumference of 10 meters more than the second. What size will the gardens be? - Board triangle ratio
From a rectangular board with 2 m and 3 m dimensions, we cut isosceles and right-angled triangles at the corners with an overhang of 40 cm. Calculate the ratio of the rest of the board's areas to its total original area. - Described circle to rectangle
The rectangle with 6 cm and 4 cm sides was a circumscribed circle. What part of the circle area determined by the circumscribed circle occupies a rectangle? Express in perctentages(%). - Similarity n-gon
6-gones ABCDEF and A'B'C'D'E'F' are similar. The area of 6-gon ABCDEF is S1=248 m², and the diagonal length FA is 28 m. Calculate the area of the 6-gon A'B'C'D'E'F' if F'A' = 36 m. - Farmer
A farmer cultivates 244 ha of arable land, which represents the part of his land that is not meadows and pastures. The remaining 12% consists of meadows and pastures. How much land does the farmer own in total? - Coordinates of line points
I have a point A=[2,1] and a line y+x-5=0. How do I determine the coordinates of point A', which is the image of point A according to the given straight line? - Angles
In the triangle ABC, the magnitudes of the angles α, β γ are in the ratio 0.4:1:0.9. Find their magnitudes. - Triangle aspect ratio
In a triangle, the aspect ratio is a: b = 2:1, and the aspect ratio is b: c = 3:4. Determine the aspect ratio a: b: c. - Triangle - ratio
Change the triangle in a ratio of 3:4 The length of the sides of a triangle: a = 7 cm b = 6 cm c = 5 cm - Interesting property
Plot a rectangular shape has the interesting property that perimeter in meters and the area in square meters are the same numbers. What are the dimensions of the rectangle? - N-gon angles
What is the sum of the interior angles of an 8-gon? What is each interior angle of a regular convex 8-gon? - Bent scale
Monica weighed 52 kg. Sara 54 kg. Together they weighed 111 kg. They noticed that the needle on the scale was bent. How much did they really weigh? - Triangle angle ratio
In the right-angled triangle ABC (the right angle at vertex C), the angle ratio is α : β = 5 : 3. Calculate the sizes of these angles and convert them to degrees and minutes (e.g., 45°20') - Flower bed tiles
A gardener lays tiles around a square flower bed. It needs 12 tiles around the 2x2 bed. How many tiles will he need around the size of the bed? a) 9x9 b) nxn? How big was the bed for which the gardener consumed c) 112 d) 4n tiles? - Rectangle area
The rectangle's length is 35% larger than its width, and the circumference is 188 cm. Calculate its area. - Land boundary
The land is a right triangle. Its hypotenuse is 30 meters long, and its circumference is 72 meters. What are the sizes of the remaining sides of the land boundary? - Rectangle Garden Area Diagonals
The length of the sides of the rectangular garden is 4:3. The line segment connecting the midpoints of adjacent sides is 20 m long. Calculate the area of the garden. - Rectangle 3-4-5
The sides of the rectangle are in a ratio of 3:4. The length of its diagonal is 20 cm. Calculate the area of the rectangle. - Angles of the triangle
ABC is a triangle. The size of the angles alpha and beta are in a ratio of 4:7. The angle gamma is greater than the angle alpha by a quarter of a straight angle. Determine the angles of the triangle ABC.
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