Planimetrics + maximum - practice problems
Number of problems found: 32
- An equilateral
An equilateral triangle with a side of 10 m represents a wooden platform standing on a lawn. A goat is tied to a corner with a 15 m rope. What is the maximum amount of grazing area available to the goat? - Automatic 45711
What grass area can the automatic sprayer spray if it is set to spray at an angle of 120 ° and the water sprays up to a maximum distance of 5 meters? - Work space
Every person in a conference room must have at least 36 square feet of workspace. A conference room is 28 by 20 ft. find the maximum number of people the room can accommodate. - Transporting 17603
The ferry transporting people across the river has a transport area of 17mx25m. How many people can carry a maximum of 50 people per 1 person? - Tiles
From how many tiles, 20 cm by 30 cm, we can build a square of maximum dimensions if we have maximum 275 tiles. - Megapizza
Mega pizza will be divided among 100 people. First gets 1%, 2nd 2% of the remainder, 3rd 3% of the remainder, etc. Last 100th 100% of the remainder. Which person got the biggest portion? - Percentage 67494
A circle with the maximum area was made of a square plate with side a = 85 cm. What percentage of the board is wasted? - Smallest 32811
Which diamond with a side length of 7.5 cm has: a / largest area, b / smallest area - Diameter 4111
How many balls with a diameter of 3.25 cm with a mixture in a circle with a diameter of 27 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 - Electrified 6472
The electrified carpet was rectangular, 16 square meters in area, and no two points on it were more than 7 meters apart. What different circuits can carpets that meet these conditions have? - Sprinkler 80801
A sprinkler is located in the park at a distance of 3m from the sidewalk. Water blasted up to a distance of max. 5m. What is the maximum length of the sidewalk it will cover? - Tiles
How many tiles of 20 cm and 30 cm can build a square if we have a maximum of 100 tiles? - Largest squares
How many of the largest square sheets did the plumber cut the honeycomb from 16 dm and 96 dm? - Shape
The plane shape has a maximum area 677 mm². Calculate its perimeter if the perimeter is the smallest possible. - Base and longest side
The base of a right-angled triangle is 10 centimeters, and the longest side is 26 centimeters. What is the area of the triangle? - Traffic laws
Under traffic regulations, car lights can illuminate the road up to a maximum of 30 m. To check the reach of the dipped-beam lights of their car, Peter stopped the car at 1.5 m from the wall. The dipped beam headlights are 60 cm high. At what height on th - The bridge
A vehicle weighing 5,800 kg passes 41 km/h on an arched bridge with a radius of curvature of 62 m. What force pushes the car onto the bridge as it passes through the center? What maximum speed can it cross over the center of the bridge, so it does not fly - Right-angled 78394
A right-angled triangle was inscribed in a circle with a diameter of 20 cm, whose hypotenuse is the circle's diameter and has the largest possible area. Calculate the area of this triangle. - Quadrilateral 8405
Calculate the magnitude of the largest inner angle and the deviation of the diagonals in the quadrilateral, whose vertices correspond to points 1, 5, 8, and 12 on the dial.
Do you have homework that you need help solving? Ask a question, and we will try to solve it.