Planimetrics - math word problems - page 42 of 185
Number of problems found: 3688
- 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. - A goat
In the square garden of side (a), a goat is tied in the middle of one side. Calculate the length of the rope (r) so that the goat grazes exactly half the garden. If r = c * a, find the constant c. - The field
The player crossed the field diagonally and walked the length of 250 m. Calculate the length of the field circumference if one side of the field is 25 meters. - A mast
The wind broke a mast 32 meters high so that its top touched the ground 16 meters from the pole. The still-standing part of the mast, the broken part, and the ground form a rectangular triangle. At what height was the mast broken? - Circle sector
The circular sector with a central angle 160° has an area 452 cm². Calculate its radius r. - Square room
What is the size of the smallest square room, which can be paved with tiles with dimensions of 55 cm and 45 cm? How many such tiles are needed? - 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 - Triangle perimeter sides
The circumference of the triangle is 125 cm. The shortest side is 12 cm shorter than the longest side. The longest side is 7 cm longer than the middle side. How long is the middle side? - Triangle angle
For the interior angles of a triangle, the angle β is twice as large, and the angle γ is three times larger than the angle α. Is this triangle right? - Rectangle side measurement
One side of the rectangle is 8 cm long. When we enlarge the dimensions of this rectangle four times, we get a rectangle with a circumference of exactly 1m. How many mm does the other side of the unmagnified rectangle measure? - Circle's chords
The circle has two chord lengths, 30 and 34 cm. The shorter one is from the center twice as a longer chord. Determine the radius of the circle. - Fence for Triangular Garden
The triangular garden has a perimeter of 197 m. If two sides with lengths of 58 m and 66 m are fenced, how many meters of fence still need to be built? - Floor covering
We used 30 m² of floor covering for the floor in the 12 m long corridor. How many m of perimeter rail do we need if we put it on all sides? - Quadrilateral
The perimeter of a quadrilateral (four-sided plane shape) is 125 cm. How long is the fourth side of the three known sides measure a=12 cm, b=45 cm, and c=30.5 cm? - Darnell
Darnell is mountain climbing with Kirk and has just climbed a 9-meter vertical rock face. Kirk is standing at the bottom of the cliff, looking up at Darnell. If Kirk is 15 meters away from Darnell, how far away from the cliff is Kirk standing? - The rectangle
In the rectangle ABCD, the distance of its center from line AB is 3 cm greater than from line BC. The circumference of the rectangle is 52 cm. Calculate the area of the rectangle. Express the result in cm². - 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? - Rhombus height calculation
Calculate the height of the rhombus ABCD on the side a if a = 58 dm and its area is 49.3 m2 - Diamond side calculation
The area of the diamond is 112 cm square, and the length of its side is given by the expression x + 5 cm. Calculate this length if the height of the diamond is v = 7 cm. - Playground Shorter Side The playground has a rectangular shape. The length of the line around its perimeter is 440m. The longer side of the course is 140m long. How many meters does the size of the shorter side of the pitch measure?
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