Planimetry - math word problems - page 38 of 187
Number of problems found: 3739
- School plot modification
When modifying the school plot in the shape of a rectangle, the deviation was calculated if we increased the length and width of the plot by 1 m and its area by 22 m². If we reduce the length of the plot by 2 m and increase its width by 1 m, its area will - Three 205
Three metallic bars of lengths 400 cm, 600 cm, and 720 cm are cut into equal pieces. Find the largest possible area of a square that can be made from any of the three bars. - 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 40 cm² and a circumference of 30 cm. One of the patches was 8 cm wide. What was the width of the - 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 - Square tiles
The room has dimensions of 12 meters and 5.6 meters. Determine the number of square tiles and their largest dimension to cover the floor exactly. - Trapezium internal angles
A trapezium where AB is parallel to CD, has angle A : angle D = 4 :5, angle B = 3x-15 and angle C = 4x+20. Find angle A, B, C and D. - Pool track width
What is the smallest width of the pool to be divided without rest into equally wide tracks, either 80 cm or 1 m, or 120 cm? - Gear turn calculation
Two gears – one smaller and one larger rotate so that the teeth of both wheels mesh together. The first wheel has 18 teeth, the second 27. How many times does each wheel turn before returning to its starting position? - Prism height calculation
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 1 dm³. - The tractor
The tractor sows an average of 1.5 ha per hour. How many hours does it sow a rectangular trapezoid field with 635 m and 554 m bases and a long arm of 207 m? - Garden fencing
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. - Disc
The circumference of the disk is 78.5 cm. What is the circumference of the circular arc of 32° on the disc? - The hall
The hall had a rectangular ground plan, one dimension 20 m longer than the other. After rebuilding, the length of the hall declined by 5 m, and the width increased by 10 m. The floor area increased by 300 m². What were the original dimensions of the hall? - Square tile paving
We have to pave the smallest possible square with rectangular tiles with 168 cm and 280 cm sides. What will its side of the square be? - Gear rotation
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? - The garden
The garden has the shape of a rectangular trapezium. The bases have lengths of 27 meters and 36 meters, and the trapezoid's height is 12 meters. Calculate how much a fence will cost this garden if one meter costs 1.5 €. - Diagonal
The rectangular ABCD trapeze, whose AD arm is perpendicular to the AB and CD bases, has an area of 15 cm². Bases have lengths AB = 6 cm and CD = 4 cm. Calculate the length of the AC diagonal. - Terrace tiles
Mr. Novak wants to pave a terrace using two sizes of square tiles, while minimising the number of tiles. His terrace is square with a side of 3 metres. Two sides of the terrace are against the house wall. Along the walls, he wants to place small tiles, an - Garden fence repair
The perimeter of the kindergarten garden measures 126 meters. The longer side of the school garden fence broke. How many meters of 180 cm wide mesh does the janitor need to buy to repair it if the shorter side measures 28 meters? - Garden fence mesh
The actual area of the square garden is zero whole zero, 875 hectares. How many meters of mesh will Mr. Novák need to fence it if a gate 80 cm wide and 2 m high leads to the garden?
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