Planimetrics + reason - practice problems - page 3 of 11
Number of problems found: 212
- Flowerbed
We enlarged the circular flower bed, so its radius increased by 3 m. The substrate consumption per enlarged flower bed was (at the same layer height as before magnification) nine times greater than before. Determine the original flowerbed radius. - Square into three rectangles
Divide the square with a side length of 12 cm into three rectangles with the same circumference so that these circumferences are as small as possible. - Circumference of the garden
The garden is 90 m long. What is the smallest width if it is possible to walk (circumference) in steps of 80 cm or 50 cm? - Carpet
The room is 10 x 5 meters. You have the role of carpet width of 1 meter. Make a rectangular cut of a roll. That piece of carpet will be the longest possible and will fit into the room. How long is a piece of carpet? Note: The carpet will not be parallel w
- Calculate 14733
Square has the side a = 12 cm. Calculate the area of a triangle in the square. - Trapezoid thirds
The ABCD trapezoid has parallel sides AB and CD. The E point lies on the AB side. The segment DE divides the trapezoid into two parts with the same area. Find the length of the AE line segment. - Endless lego set
The endless lego set contains only 6, 9, and 20-kilogram blocks that can no longer be polished or broken. The workers took them to the gym and immediately started building different buildings. And, of course, they wrote down how much the building weighed. - Rhombus 29
One of the diagonals of a rhombus is equal to a side of the rhombus. Find the angles of the rhombus. - Isosceles from square
How many isosceles triangles form in a square when we mark all diagonals?
- The carpet
How many meters of carpet 90 cm wide need to cover the floor room, which has a rectangular shape with lengths of 4.8 m and 2.4 m, if the number of pieces on the carpet is needed to be lowest? - Cardboard box
Peter had square cardboard. The length of the pages was an integer in decimetres. He cut four squares with a side of 3 dm from the corners and made a box out of it, which fit precisely 108 cubes with an edge one dm long. Julia cut four squares with a side - Is right triangle
Decide if the triangle XYZ is rectangular: x = 4 m, y = 6 m, z = 4 m - N-gon angles
What is the sum of interior angles 8-gon? What is the internal angle of a regular convex 8-polygon? - Hypotenuse 82331
Given a right triangle KLM with a right angle at M. What is the magnitude of the hypotenuse m if the magnitude of the normal to the hypotenuse m is 4?
- Identical 20963
In which triangles is the line identical with the height? - Rectangles
Vladimir likes to draw rectangles. Yesterday he created all rectangles that had sides in centimeters and a circumference of 18 cm. How many rectangles of different dimensions have been drawn? - Equilateral 4486
If we increase one side of the triangle by 11 cm and reduce the other by 11 cm, we get an equilateral triangle. Four times the shortest side of the triangle is 10 cm greater than three times the triangle's longest side. Find all the lengths of the sides o - Gardener 75344
A gardener lays tiles around a square flower bed. It needs 12 tiles around the 2x2 bed. How many tiles will he need around the size of the bed? a) 9x9 b) nxn? How big was the bed for which the gardener consumed c) 112 d) 4n tiles? - Cu thief
The thief stole 142 meters copper wire with a cross-section area of $s mm². Calculate how much money gets in the scrap redemption if redeemed copper for 5.3 Eur/kg. The density of copper is 8.96 t/m³.
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Planimetrics - practice problems. Reason - practice problems.