Line segment

The 4 cm long line segment is enlarged in the ratio of 5/2. How many centimeters will measure the new line segment?

Correct answer:

x =  10 cm

Step-by-step explanation:

$$\begin{gathered} a=4\text{ cm } \\ p={\displaystyle \frac{5}{2}}=2.5 \\ x=p\cdot a=2.5\cdot 4=10\text{ cm} \end{gathered}$$

Try another example

Related math problems and questions:

• Line segment
  Cut a line segment of 15 cm into two line segments so that their lengths are in ratio 2:1. What length will each have?
• Line segment
  Line segment AB is 8 cm long. Divide it in a ratio of 2: 3.
• Divide in ratio
  Line segment AB 12 cm long divide in a ratio of 5: 3. How long are the individual parts?
• Map 2
  At what scale is made map if the distance 8.2 km corresponds on the map segment 5 cm long?
• Sides od triangle
  Sides of the triangle ABC has length 4 cm, 5 cm and 7 cm. Construct triangle A'B'C' that are similar to triangle ABC which has a circumference of 12 cm.
• Enlarged rectangle
  The rectangle with dimensions of 8 cm and 12 cm is enlarged in a ratio of 5:4. What are the circumference and the area of the enlarged rectangle?
• Similar triangles
  The triangles ABC and XYZ are similar. Find the missing lengths of the sides of the triangles. a) a = 5 cm b = 8 cm x = 7.5 cm z = 9 cm b) a = 9 cm c = 12 cm y = 10 cm z = 8 cm c) b = 4 cm c = 8 cm x = 4.5 cm z = 6 cm
• Construction of trapezoid
  Construct a trapezoid if b = 4cm, c = 7cm, d = 4,5cm, v = 3 cm (Procedure, discussion, sketch, analysis, construction)
• Composite ratio
  Jakub, Aneta, and Lenka divided 1342 USD in the ratio 5/2: 3/10: 1/4. How much did Lenka take?
• Draw a trapezoid
  Draw a trapezoid if given a = 7 cm, b = 4 cm, c = 3.5 cm, diagonal AC = 5cm. Solve as a construction task.
• Photocopier
  A photocopier enlarges a picture in the ratio 7:4. How many times will a picture of size 6cm by 4cm be enlarged to fit on a 30cm by 20 cm page?
• 2d shape
  Calculate the content of a shape in which an arbitrary point is not more than 3 cm from the segment AB. The length of the segment AB is 5 cm.
• Hay bags
  4 cows eat 16 hay bags in 5 days. How many bags will eat 5 cows in 7 days?
• Dividing
  Divide the three-line segment 13 cm, 26 cm, and 19.5 cm long for parts so that the individual pieces were equally long and longest. How long will the individual parts, and how many will it?
• Percentages
  Calculate the percentages to two decimal places: a / 15 min in 4 hours B / 35 cm² of 12.5 dm² c / 2dm² of 400 cm² D / 0.2 liters from 2.2 liters
• Five combers
  Five combers harvest 12 rows of strawberries in 4 hours. How many rows of strawberries will two combers harvest in 10 hours?
• Segments
  Line segments 62 cm and 2.2 dm long we divide into equal parts which lengths in centimeters is expressed integer. How many ways can we divide?