Length - math word problems - page 29 of 167
Number of problems found: 3334
- Hypotenuse, euclid
In a right-angled triangle, the hypotenuse has a length of 24 cm. The foot of the altitude to the hypotenuse divides it into two parts in a ratio of 2:4. What is the length of the altitude to the hypotenuse in cm? Calculate the perimeter of this right tri - Rectangle dimension increase
The area of the rectangle is 81.25 cm². If we increase its length by 5 mm, its area increases by 4%. Determine its dimensions. - Square side reduction
A square has a side length of 25 cm. How big is its area if the side is reduced by 25%? - Quadrilateral triangle segment
The quadrilateral ABCD is symmetrical about the diagonal AC. The length of AC is 12 cm, the length of BC is 6 cm, and the interior angle at vertex B is right. points E and F are given on the sides AB, and AD so that the triangle ECF is equilateral. Determ - Circumference of edges
The hexagon pyramid has a circumference of 120 cm, and the length of the side edge is 25 cm. Calculate its volume. - Cube edge millimeter
How many cubes with an edge of 1 mm fit into a cube with an edge of 1 cm? - Circle and chord
The chord of a circle is 233 long, and the length of the circular arc above the chord is 235. What is the circle's radius, and what is the central angle of the circular arc? - Map scale reduction
Cyril marked a square plot of land on a map with a scale of 1 ∶ 50,000 and calculated that its side corresponds to 1 km. He reduced the map on the copier so that the marked square had an area smaller by 1.44 cm² than on the original map. What was the scal - Rectangle width area Determine the width of a rectangle with an area of 14.5 cm² and a length of 5 cm.
- Triangle height ratio
In the right-angled triangle ABC (AB is the hypotenuse), a : b = 24 : 7, and the height to the side c = 12.6 cm applies. Calculate the lengths of the sides of triangle ABC. - Siblings 6
Siblings Martin and Judy decided to visit a castle 10 km from their home. Martin left at 7:30 and walked at a speed of 4 km/h. Judy set off on her bicycle an hour and a half later and rode at 16 km/h. Did Judy catch up with Martin before the castle? If so - Cube surface
Calculate the cube's surface with the edges of the length: 2 half cm, 3.5 cm; it is a quarter of a cm. - Motorcyclist gully fall
An undisciplined motorcyclist drove at an unreasonable speed on a mountain road, lost control in a bend, and left the roadway at 90 km/h. He was falling into a gully 36 m deep. Draw a cross-sectional picture of the whole situation. How far did the motorcy - Parallelogram - diagonals
Suppose a parallelogram ABCD, the length of one of its diagonals is equal to that of one of its sides. What are the interior angles of this parallelogram? - Elevation of the tower
We can see the top of the tower standing on a plane from a certain point A at an elevation angle of 39°25''. If we come towards its foot 50 m closer to place B, we can see the top of the tower from it at an elevation angle of 56°42''. How tall is the towe - Tower elevation angles Find the height of the tower when the geodetic measured two angles of elevation α=34° 30'' and β=41°. The distance between places AB is 14 meters.
- Triangle similarity area
Triangle ABC and triangle ADE are similar. Calculate in square centimeters the area of triangle ABC if the length of side DE is 12 cm, the length of side BC is 16 cm, and the area of triangle ADE is 27 cm². - Mother daughter stride
Mother and daughter walked side by side. They walked 378 meters, and the mother took 840 steps. Before the mother takes 3 steps, the daughter takes 4 steps. What is the mother's stride length? How many steps did the daughter take? - Triangle perimeter ratio
The lengths of the sides of the triangle are in the ratio 7:6:4. The shortest side is 36 cm. What is the perimeter in cm of this triangle? - Triangle colored part
Kornelia cut off the colored part from the equilateral triangle. The shortest side of the colored triangle is 1/3 the length of the side of the original triangle. Calculate what part of the triangle she cut off.
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