Planimetrics - math word problems - page 44 of 185
Number of problems found: 3684
- Gale and spruce
A mighty gale broke the top of the fifteen-year spruce, resting it on the ground. The distance of this top from the trunk was 4.6 m below. At what height was the spruce trunk broken? - Circle and square
An ABCD square with a side length of 100 mm is given. Calculate the circle’s radius that passes through vertices B, C, and the center of the side AD. - Wire fence
The wire fence around the garden is 160 m long. One side of the garden is three times longer than the other. How many meters do the individual sides of the garden measure? - A truck
A truck departs from a distribution center. From there, it goes 20km west, 30km north and 10km west and reaches a shop. How can the truck reach back to the distribution center from the shop (what is the shortest path)? - Thunderstorm
The height of the pole before the storm is 10 m. After a storm, when they check it, they see that the ground from the pole blows part of the column. The distance from the pole is 3 meters. At how high was the pole broken? (In fact, the pole created a rect - Trapezoid
How long are the trapezoid bases with an area of 24 cm² and a height of 3 cm? One base is three times longer than the shorter. - Billboard
A rectangular billboard is 2.5 m long with a diagonal of 2.8 m long. Calculate the perimeter and the area of the billboard. - The rope
A 68-centimeter-long rope is used to make a rhombus on the ground. The distance between a pair of opposite side corners is 16 centimeters. What is the distance between the other two corners? - Two lands
The common area of the two neighboring lands is 964 m². The second land is smaller by 77 m2, twice the size of the first land. Find the areas of each land. - RT leg and perimeter
The right triangle ABC with hypotenuse c has the length of a leg a= 84 and the perimeter of the triangle o = 226. Calculate the size of the sides of the triangle ABC. - Rectangle - sides 3
If in the rectangle ABCD, we enlarge side a by 5 cm and decrease side b by 2 cm, the rectangle area will be reduced by 5 cm². When we decrease the length of side a by 4 cm, and at the same time we increase the length of side b by 3 cm, we increase the are - Corresponding 59063
Calculate the radius and area of the circular segment if the center angle = 106° and the length of the corresponding circular arc is l = 52 cm. - Calculate 19653
Calculate the height of the rhombus ABCD on the side a if a = 58 dm and its area is 49.3 m2 - Circumference 7823
The bases are 9 cm and 5 cm long in a rectangular trapezoid. The length of the shorter arm is 3 cm. Calculate its circumference and area. - Circular 6760
What circular track radius must a runner run six times to run 1.8km? - The parallelogram
The circumference of the parallelogram is 79.5 m, and its shorter side is half the longer side. What is the length of which side of the parallelogram? - Diameter 5668
The span of the arc is 247 cm, and the height of the arc is 21.5 cm. What is the diameter of the circle? - Circumference 4430
There is an isosceles triangle with a circumference of 36 cm, and the height at the base is 12 cm long. Calculate the length of the arm of a given triangle. - 144 steps
To get around the garden, we have to take 144 steps—eight steps less in width than in length. One step is five decimetres long. What are the dimensions of the garden? What are its perimeter and its area? - Height and base
An isosceles triangle has an area of 168 cm², and its added height and base are 50 cm. What are the measurements of its height and base?
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