Planimetrics - math word problems - page 113 of 183
Number of problems found: 3651
- Obtuse angle
Line OH is the height of the triangle DOM, and line MN is the bisector of angle DMO. the Obtuse angle between the lines MN and OH is four times larger than the angle DMN. What size is the angle DMO? (see attached image) - Forest nursery
In the Forest nursery plant, one borovice to 2 m². Calculate how many plants are planted in the area of 510 acres. - 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? - Dimensions 20513
The sides of the rectangle are 6.6 cm and 4.2 cm. We change its dimensions in a ratio of 5:2. How many times does the rectangle's area change compared to the original rectangle? - Square - increase sides
If we increase the length of one pair of opposite sides of the square by 2 cm and the length of the other two sides by 1 cm, we will create a rectangle, the perimeter of which will be 10% larger than the perimeter of the original square. What is the side - Plot
The length of the rectangle is 8, smaller than three times the width. If we increase the width by 5% of the length and the length is reduced by 14% of the width, the circumference of the rectangle will be increased by 30 m. What are the dimensions of the - 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?
- 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. - Tree shadow 3
A 2-meter rod casts a shadow 3.2 m long. How high is a tree with a shadow of 14.4 m? - 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? - Equation of the circle
Find an equation of the circle whose diameter has endpoints (1,-4) and (3,2). - Cu thief
The thief stole 25 meters of copper wire with a cross-section area of $s mm². Calculate how much money is earned on scrap redemption if copper is redeemed for 5.1 Eur/kg. Copper's density is 8.96 t/m³. - 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) - Isosceles trapezoid
Calculate the area of an isosceles trapezoid whose bases are at a ratio of 5:3. The arm is 6cm long and 4cm high. - Find all
Find all right-angled triangles whose side lengths form an arithmetic sequence.
- Lake or pond
The landlord has a square lake. Trees grow around it. The lake wants to enlarge the pond twice without cutting down or flooding any trees. How will he do that? - The perimeter
The perimeter of equilateral △PQR is 12. The perimeter of the regular hexagon STUVWX is also 12. What is the ratio of the area of △PQR to STUVWX? - Rectangle area
The length of a rectangle is x units, and the width is y. Dimensions are increased by 10% and 15%, respectively. What is the ratio of the areas of the old and new rectangle? - Ratio - rectangle
The rectangle has dimensions of 6 cm and 9 cm. When its dimensions increase in the ratio of 5:3, how many times does the area and perimeter increase? - A circle 2
A circle is centered at the point (-7, -1) and passes through the point (8, 7). The radius of the circle is r units. The point (-15, y) lies in this circle. What are r and y (or y1, y2)?
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