Planimetry - math word problems - page 129 of 187
Number of problems found: 3735
- Built-up area
John build-up area 4.3 x 6.3 = 27.09 m² with building with a wall thickness 25 cm. How many centimeters would he have to subtract from the thickness of the walls that the built-up area fell by 5%? - Triangle colored part
Kornelia cut off the colored part from the equilateral triangle. The shortest side of the colored triangle is 1/3 the length of the side of the original triangle. Calculate what part of the triangle she cut off. - Square metal sheet
We cut out four squares with a 300 mm side from a square sheet metal plate with a side of 0.7 m. Express the fraction and the percentage of waste from the square metal sheet. - EQ2 - symetric results
Given the function y = x² - 4x + 3. Determine all real numbers z such that g(x) = g(-2). - Circle diameter ratio
You know the ratio of the circumference of the circle to the area is 4:9. What is the circle's diameter? - Diamond circumference change
How do I change the length of a diamond's side if I want its circumference to double? - Circle radius
Calculate the circle's radius if the circumference and area are in a 2:5 ratio. - Tree trunk
Calculate the average diameter of a tree trunk whose circumference is 192 cm. - Median
In triangle NOP, the centroid is 95 cm from vertex P. Calculate the length of the median from vertex P. - Trapezoid - hard example
Bases of the trapezoid are: 24, 16 cm. Diagonal 22, 26 cm. Calculate its area and perimeter. - Garden area ratio
Divide the area S=153 m² of the square garden in a ratio of 2:7. What part of the garden does the smaller part occupy? - The sides 6
The sides of the rectangle are 12 cm and 15 cm. How many percent will the area of the rectangle increase if we increase each side by 10%? - Rectangle dimension change
Scale both dimensions of the rectangle in the ratio 9:4. The original dimensions are 0.8 dm and 16 cm. What are the dimensions of the rectangle after the change? - Interior angles
Calculate the interior angles of a triangle that are in the ratio 2:3:4. - Acute angles
Sizes of acute angles in the right-angled triangle are in the ratio 1:8. What is the size of the larger of them? - Triangle angles
The angles α, β, and γ of triangle ABC are in the ratio 6:2:6. Calculate the size of each angle. - Turbine
A turbine in a small hydroelectric power plant requires a minimum supply of 9600 liters of water every second to function. A supply channel with a rectangular cross-section leads to the power plant, in which water flows at a speed of 10 m/s. The width of - Chocolate
How many times must a chocolate bar consisting of 10 × 12 pieces be broken to separate it into 120 individual pieces? - Rectangle perimeter ratio
The sides of the rectangle are relatively 5:4, and the perimeter of the rectangle is 308 dm. Find the area of the rectangle. - Triangle side ratio
A triangle with sides a, b, and c whose perimeter is 26 cm is true: ratio a:b is 4:3, and ratio b:c is 1:2. Find the lengths of the sides of this triangle.
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