Planimetrics - math word problems - page 109 of 184
Number of problems found: 3673
- Fertilizer
With an area of 1,500 square meters, Meadow was fertilized with 12 kg of urea. Urea contains 45% nitrogen. How much nitrogen accounted for per 1 m²? - trapezium 3428
Given is a trapezoid ABCD with bases AB, CD. Let K be side AB's midpoint, and point L be side CD's midpoint. The area of triangle ALB is 15 cm2, and the area of triangle DKC is 10 cm². Calculate the area of trapezium ABCD. - Field on plan
The plan has a scale of 1:2500. Determine dimensions in centimeters of the plan if the field has a length of 310 meters and 182.5 meters. - Points on circle
The Cartesian coordinate system with the origin O is a sketched circle k /center O; radius r=2 cm/. Write all the points that lie on a circle k and whose coordinates are integers. Write all the points on the circle I with center O and radius r=5 cm, whose - Ratio of sides
Calculate the area of a circle with the same circumference as the circumference of the rectangle inscribed with a circle with a radius of r 9 cm so that its sides are in a ratio of 2 to 7. - A map
A map of size 60cm by 25cm is reduced in the ratio of 3:5 twice. What are the new dimensions? - Irregular pentagon
A rectangle-shaped, 16 x 4 cm strip of paper is folded lengthwise so that the lower right corner is applied to the upper left corner. What area does the pentagon have? - Percentage and rectangle
What percentage increases the perimeter and area of a rectangle if both sides are 12 cm and 10 cm long, and we increase it by 20%? - Square - increased perimeter
How many times is the increased perimeter of the square, where its sides, increased by 150%? If the perimeter of the square increases twice, how much % increases the area of the square? - Distance problem
A=(x, x) B=(1,4) Distance AB=√5, find x; - Equation of circle
Find an equation of the circle with indicated properties: a. center at (-3,5), diameter 20. b. center at origin and diameter 16. - Experimental 82019
3.6 tons of sugarcane were harvested on the experimental plot of 0.2 ha. How many tons of sugarcane can be harvested on a plot of land of 18.6 hectares with the same yield per hectare? - Equation of the circle
Find the equation of the circle inscribed in the rhombus ABCD where A[1, -2], B[8, -3], and C[9, 4]. - Displacement 55871
Assemble the two offsets, d1, and d2, shown by OA and OB oriented lines. The coordinates of the points are O = (0m, 0m), A = (3m, 3m), and B = (5m, 2m). Measure the magnitude of the resulting displacement d. - Trapezoid 18313
Find the points A1 B1 symmetric along the y-axis to the points A [-4,0] and B [-1,4]. Calculate the perimeter of the trapezoid AB B1 A1. - Diameter 6289
A circle with the largest possible diameter is cut from a square with a side length of 35 cm. What percent of the square area is waste? - Cutting circles
From the square 1 m sides, we have to cut the circles with a radius of 10 cm. How many discs will we cut, and how many percent will be wasted? - Circle
From the equation of a circle: -x² -y² +16x -4y -59 = 0 Calculate the coordinates of the center of the circle S[x0, y0] and the radius of the circle r. - Find all
Find all right-angled triangles whose side lengths form an arithmetic sequence. - Squares ratio
The first square has a side length of a = 6 cm. The second square has a circumference of 6 dm. Calculate the proportions of the perimeters and the proportions of these squares. (Write the ratio in the basic form). (Perimeter = 4 * a, area S = a²)
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