Length + direct relationship - math problems

Number of problems found: 72

  • The perimeter 3
    rectangles The perimeter of a rectangle is 35 cm. The ratio of the length to its width is 3:2. Calculate the dimensions of the rectangle
  • A sculptor
    statue A sculptor is duplicating a statue based on an original statue. If the scale factor of the replication is 3.2, will the new statue be larger or smaller than the original statue (enter 1 = larger, 0= smaller)
  • The chimney
    shadow The chimney casts a shadow 45 meters long. The one-meter-long rod standing perpendicular to the ground has a shadow 90 cm long. Calculate the height of the chimney.
  • Cyclist
    cyclist Cyclist drives 5 km in half an hour, how long will drive in 3 hours?
  • Proportion 2
    car A car is able to travel 210 km in 3 hours. How far can it travel in 5 hours? Put what kind of proportion is this and show your solution.
  • Ratio of edges
    diagonal The dimensions of the cuboid are in a ratio 3: 1: 2. The body diagonal has a length of 28 cm. Find the volume of a cuboid.
  • On the map
    mapa_ta3 A line 1.5 cm long corresponds to a line 3 cm long on the map. What is the scale of the map?
  • Shadow of tree
    stromcek Miro stands under a tree and watching its shadow and shadow of the tree. Miro is 180 cm tall and its shade is 1.5 m long. The shadow of the tree is three times as long as Miro's shadow. How tall is the tree in meters?
  • Cuboid
    kvader11 The sum of the lengths of the three edges of the cuboid that originate from one vertex is 210 cm. Edge length ratio is 7: 5: 3. Calculate the length of the edges.
  • Olda wanted
    photo Olda wanted to enlarge the 9 cm x 13 cm photo so that the shorter side measured 18 cm. How big will the longer side of the photo be?
  • Scale of the map
    city The distance between two cities is actually 30 km and the map is 6 cm. What is the scale of the map?
  • The sides
    rectangles The sides of the rectangle are in a ratio of 3: 5 and its circumference measures 72 cm. Calculate: a) the size of both sides of the rectangle b) the area of the rectangle c) the length of the diagonals
  • Driver
    truck I drive at an average speed of 70km/h, I drive 10 thousand km. How long did it take me?
  • Points on line segment
    segment Points P & Q belong to segment AB. If AB=a, AP = 2PQ = 2QB, find the distance: between point A and the midpoint of the segment QB.
  • Line segment
    lines 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?
  • Tree shadow 3
    tree3 A 2-meter rod casts a shadow 3.2 m long. How high is a tree with a shadow of 14.4 m?
  • Display case
    vitrinka Place a glass shelf at the height of 1m from the bottom of the display case in the cabinet. How long platter will we place at this height? The display case is a rectangular triangle with 2 m and 2.5 m legs.
  • Photo egative
    negativ Negative dimensions are 36mm and 28mm. What will be the photo size in the 21:4 ratio?
  • Sides od triangle
    podobnost 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.
  • Map scale
    rectangles On a 1:1000 scale map is a rectangular land of 4.2 cm and 5.8 cm. What is the area of this land in square meters?

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