Length - practice problems - page 2 of 164
Number of problems found: 3273
- Existence of a triangle
Can the sides of a triangle have lengths of 4, 18, and 20? - Goods train
A goods train runs at a speed of 72 km/h and crosses a 250 m long platform in 26 seconds. What is the length of the goods train? - Fabric - Jose
Jose had 1 5/7 yards of fabric and used 24/59 of a yard for a project. What fraction of the fabric did he use? - Parallel lines - dist
Find the distance between the parallel lines 3x − 4y + 7 = 0 and 3x − 4y + 5 = 0. - Angle of inclination
Find the angle of inclination of a ramp that rises 80 cm over a horizontal length of 200 cm. - Submarine and plane
A submarine is floating 900 m below sea level. Directly above it, an aeroplane is flying at an altitude of 4,800 m above sea level. What is the vertical distance between the two? - Rhombus = area, diagonal
The area of a rhombus is 144 cm². One diagonal is twice the length of the other. How long is the shorter diagonal? - Rectangle - S2
Calculate the area and perimeter of a rectangle with a length of 8 cm and a width of 5 cm. - A tree 3
A tree breaks due to a storm and the broken part bends so that the top of the tree touches the ground at an angle of 30°. The distance from the foot of the tree to the point where the top touches the ground is 8 m. Find the original height of the tree. - The length 20
The length and width of a rectangular park are in the ratio 8:5. A path 1.5 m wide, running all around the outside of the park, has an area of 594 m². Find the dimensions of the park. - A gardener
A gardener wants to fence a circular garden with a diameter of 21 m. Find the length of rope he needs to purchase if he makes 2 rounds of fence. Also find the cost of the rope if it costs $0.40 per metre. - The tourist
A man travelled a distance of 61 km in 9 hours. He travelled partly on foot at 4 km/h and partly by bicycle at 9 km/h. Find the distance travelled on foot. - Triangles - segments
How many triangles can be formed with segments measuring 1 2/3 mm, 3/4 mm, and 2 1/2 mm? - A hill
Juan is walking up a hill at 130 3/4 feet above sea level when he kicks a pebble. If the pebble falls to the base of the hill, which is 18.5 feet below sea level, what is the vertical distance that the pebble fell? - The track 3
Patra runs around the track at school while training for a race. Each lap is 1/4 of a mile. On Wednesday she runs 9 laps. How far did she run? - The boat
A boatman rows 2 km against the current in 40 minutes and returns to the same spot in 30 minutes. What is his rowing speed in still water? - Three inscribed objects
A circle is inscribed in a square. An equilateral triangle with side 4√3 is inscribed in that circle. Find the length of the diagonal of the square. - A kite 3
A kite is flying at a height of 60 m above the ground. The string attached to the kite is temporarily tied to a point on the ground. The inclination of the string with the ground is 60°. Find the length of the string, assuming that there is no slack in th - The model
The model of a building is constructed with a scale factor of 1:30. If the height of the model is 80 cm, find the actual height of the building in metres. - Angle of elevation
From a point A on the ground, the angle of elevation of the top of a 20 m tall building is 45°. A flag is hoisted at the top of the building, and the angle of elevation of the top of the flagpole from A is 60°. Find the length of the flagpole and the dist
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