Planimetrics - math word problems - page 37 of 184
Number of problems found: 3667
- Dimensions 6201
Mr. John's plot of land has dimensions of 252 dm and 28 m. How far apart must he place the fence posts so they are the same distance on both sides? How many will he need to fence the entire property? - Determine 36601
The plumbers have to cut sheet metal measuring 220 cm and 308 cm into squares of equal size so that the squares are as large as possible and the sheet metal is used without residue. How many such squares will they cut? Determine the side of this square. - Pexeso
The drawing paper has dimensions of 60cm and 840mm. Pupils have to divide it into squares to make a pexeso. What dimension must squares have if their side is larger than 3cm and less than 10cm? - Tangent 3
In a circle with a center O radius is 4√5 cm. EC is the tangent to the circle at point D. Segment AB is a given circle's DIAMETER. POINT A is joined with POINT E, and POINT B is joined with POINT C. Find DC if BC IS 8cm. - Sailing
Solve the following problem graphically. The fishing boat left the harbor early morning and set out to the north. After 12 km of sailing, she changed course and continued 9 km west. Then, When she docked and reached the fishing grounds, she launched the n - Isosceles triangle 9
There is an isosceles triangle ABC where AB= AC. The perimeter is 64cm, and the altitude is 24cm. Find the area of the isosceles triangle. - Rectangular triangle PQR
In the rectangular triangle PQR, the PQ leg is divided by the X point into two segments, of which longer is 25cm long. The second leg PR has a length of 16 cm. The length of the RX is 20 cm. Calculate the length p of side RQ. The result is round to 2 deci - Returning 44201
Four gears with 21, 49, 35, and 14 teeth mesh together. If one of them rotates, the other also rotates. How many times does each rotate before returning to their position at the start? - Free space in the garden
The grandfather's free space in the garden was in the shape of a rectangular triangle of 5 meters and 12 meters in length. He decided to divide it into two parts and the height of the hypotenuse. The smaller part creates a rock garden, for the larger sows - Laths
There are two laths in the garage opposite one another: one 2 meters long and the other 3 meters long. They fall against each other and lean against the opposite walls of the garage. Both laths touch at 70 cm above the garage floor. How wide is the garage - Two patches
Peter taped the wound with two rectangular patches (one over the other to form the letter X). The area sealed with both patches simultaneously had an area of 40cm² and a circumference of 30cm. One of the patches was 8cm wide. What was the width of the sec - Around the flowerbed
Roses are to be planted equally spaced around a rectangular flowerbed with dimensions 5.25 m and 9.0 m so that they are found in every corner of the flowerbed and consumed as little as possible. a) At what distance are planted roses? b) How many roses do - Maximally 4036
Mr. Novák wants to pave the terrace with tiles of two sizes to be as small as possible. Its terrace is square with a side 3 meters long. There is a wall of the house on two sides of the terrace. Next to the wall, he wants to put small tiles, the rest larg - Quadrilateral 23881
Calculate the height of a regular quadrilateral prism whose base is a rhombus. The edge in the base is 7 cm long, the opposite edges are 5 cm apart, and we also know that the entire body has a volume of 1dm³. - Rectangular 9241
Calculate the area of a rectangular garden if it consumed 266 ordinary meters of mesh on its fencing and if we know that the difference between the lengths of two adjacent sides of the garden is 15 m. - Dimensions 8044
In the given rectangle, the length is 12 m greater than the width. We get a square if we reduce the length by 10 m and increase the width by 2 m. The area of the original rectangle is 300 m² more than the area of the square. Determine the dimensions of th - Square
Calculate the area of the square shape of the isosceles triangle with the arms 50m and the base 60m. How many tiles are used to pave the square if the area of one tile is 25 dm²? - Goat
The fenced flower bed has the shape of a regular hexagon. The tops are formed by fence posts. The fence around the flowerbed measures 60 m. A goat is tied to one of the pillars from the outside and grazes on the surrounding meadow (the goat should not ent - Rectangular 22761
We will pave a square plot of land from rectangular tiles with 25 cm and 30 cm dimensions. What is the smallest square plot we can pave with these tiles without cutting them? - Inscribed rectangle
What is the perimeter of a rectangle inscribed in a circle whose diameter is 5 dm long? Answer: 14 dm
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