Planimetry - math word problems - page 123 of 187
Number of problems found: 3739
- Do you solve this?
Calculate the area S of a rectangle and the lengths of its sides if its perimeter is 472 cm and the sides are in the ratio of 1:3. - Forest plot ratio
The sides of the rectangular forest plot are in the ratio 11:7. The shorter side of the plot is 175 meters long. Calculate the longer side of the rectangular plot. How many steps would we take if we went around the whole lot? The length of 1 step is 60 cm - Paper strip folding
A rectangular strip of paper measuring 4 cm x 13 cm is folded as shown. The two resulting rectangles have areas P and Q, where P = 2Q. Calculate the value of x. Note divide the side of 13 cm by x and 13-x. - Railway
The railway line climbs 8 per mille between points A and B, whose horizontal distance is 1.5 km. It climbs 14 per mille between points B and C, which have a horizontal distance of 900 m. Calculate the differences in altitudes between points A and C. - Parabola focus equation
Determine the equation of the parabola that has the point F = [3,2] as its focus and the line x+y+1=0 as its shift line. - Ellipse
An ellipse is given by the equation 9x² + 25y² − 54x − 100y − 44 = 0. Find the lengths of the major and minor axes, the eccentricity, and the coordinates of the centre of the ellipse. - Folding table
A folding kitchen table is rectangular with an area of 168 dm² and one side 14 dm long. If necessary, it can be enlarged by attaching two semicircular plates along the sides b. By what percentage does the table area increase? Round the result to the neare - The angles
The angles in the triangle are in the ratio 12:15:9. Find the angles. - Garden trapezoid mesh
The garden is a rectangular trapezoid a=50 m, c=30 m, d=15 m. If we add an 8% loss to the calculated length, how many meters of mesh do we need to fence it? - Wheat harvest hectare
Farmers harvested 1110q of grain from 37 hectares of wheat. a) how many q of wheat did they harvest from 12 hectares? b) how many grains were harvested from 1 m². C) how big is the side of the square of the field from which they harvested 1q of wheat? - Wall paint proportional
Matthew paints his room. He paints square walls. He painted a wall with a side of 3 m and consumed 5 kg of paint. How many kilograms of paint will he need on a wall with a side length of 6 m? - Polygon angle ratio
In a certain polygon, the ratio of the sum of the sizes of its internal angles and the sum of the sizes of the complementary angles is 2:5. How many vertices does this polygon have? - Triangle perimeter ratio
The perimeter of the ABC triangle is 19.6 cm. The following applies to the lengths of its sides: a: c = 1:2, b: c = 5:6. Calculate the lengths of all sides of the triangle ABC. - Triangle perimeter ratio
The perimeter of triangle ABC is 162 dm. The lengths of its sides are in the ratios a:b = 2:3 and a:c = 8:7. Determine the lengths of the sides of the triangle. - Ratio of sides
The triangle has a circumference of 21 cm, and the length of its sides is in a ratio of 6:5:3. Find the length of the longest side of the triangle in cm. - Rectangle
Find the dimensions of the rectangle, whose perimeter is 108 cm and the length is 25% larger than the width. - Metal washers
Metal washers with a diameter of 80 mm are cut from a strip of steel sheet with a width of 10 cm and a length of 2 m. When two adjacent circles meet, calculate the material waste percentage if no material is lost. - Extending the sides
The sides of a square and a rectangle will be simultaneously and repeatedly extended according to the following rules: all sides of the square we extend always by 2 cm, the shorter sides of the rectangle we extend always by 1 cm, and the longer sides alwa - Identical line
In which triangles is the line identical with the height? - Garden path decrease
A new path is to lead through Mr. Milo's garden – diagonally. By what percentage of the area of the park will it decrease? The length is 23.8 m, the width is 16.7 m, and the road width is 6 m.
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