Length - practice problems
Number of problems found: 3075
- Carol 3
Carol reduces the size of a photo by 30%. If the length of each side is 12 cm, what is the length of the side of the new photo? - A rectangle 14
A rectangle is 8 cm long and 5 cm wide. Its perimeter is doubled when each of its sides is increased by x cm. From an equation in x find the new length of the rectangle. - Smaller square
Let the points A, B, C and D are midpoints of the sides of the square PQRS. If the area of PQRS is 100 sq cm, what is the area of the smaller square ABCD? - The area 5
The area of a rhombus is 144 sq cm. If one of the diagonals is double the other, find the length of the diagonals.
- A thief
A thief is spotted by a policeman from a distance of 100 metres. When the policeman starts the chase, the thief also starts running. If the speed of the thief be 8 km/hr and that of the policeman 10 km/hr . How far the thief will have run before he is ove - Two parts of a run
Adam can cover a certain distance in 1 hr 24 min by covering two third at 4 km/hr and the rest at 5 km/hr. Find the total distance. - Two trains 10
Two trains of lengths 75 m and 95 m are moving in the same direction at 9 m/s and 8 m/s, respectively. Find the time taken by the faster train to cross the slower train. - An apple 2
An apple tree was planted two years ago. It increases at the rate of 20% every year .If at present, the height of the tree is 540 cm, what was it when the tree was planted? - Pole2
4/7 of a pole is in the mud. When 1/3 of it is pulled out, 250 cm is still in the mud. Find the full length of the pole.
- A journey - 2 parts
A part of journey is covered in 1 h 40 min at 75 km/h and the remaining part of it is covered in 2 h 50 min at 60 km/h.Find the total length of the journey and average speed. - Vertical axis
Find the perpendicular distance of the point A=(5,-7) from the y-axis. - An electrician 7
An electrician has to repair an electric fault on a pole of height 4 meters. He needs to reach a point 1 m below the top. What should be the length of the ladder that he could use, which when inclined at an angle 60° to the horizontal? - Fish service
According to a report by the U. S. Fish and Wildlife Service, the mean length of six-year-old rainbow trout in the Arolik River in Alaska = 484.6 millimeters with a standard deviation = 31.2 millimeters. Assume these lengths are normally distributed. What - An equilateral triangle 2
If the sides of an equilateral triangle be increased by 2 meters, the area is increased by 7√3 square meters. Find the length of the side.
- Divide 46
Divide 1111 in the ratio of 8:3 . - Parallel tracks
Two trains cross each other in 14 seconds when running in opposite directions along parallel tracks. The faster train is 160 m long and crosses a lamp post in 12 seconds. If the speed of the other train is 6 km/hr less than the faster one, its length, in - A tree 2
A tree is broken at a height of 6 m from the ground and its top touches the ground at a distance of 8 m from the base of the tree . Find the original height of the tree. - A man 18
A man walks for t1 hours at 4 km/h and then for t2 hours at 3 km/h. If he walks 29 km in 8 hours altogether, find the value of t1 and t2, respectively. - Line segments
There are three line segments on the line: the length of MN = 3 1/2, the length of NO= 2 3/4, and the length of OP=1 2/3. Find the length of line segment MP. Write your answer as a mixed number.
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