# Length + direct relationship - math problems

#### Number of problems found: 47

• The perimeter 3 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 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)
• Cyclist Cyclist drives 5 km in half an hour, how long will drive in 3 hours?
• Proportion 2 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. 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?
• Scale of the map The distance between two cities is actually 30 km and the map is 6 cm. What is the scale of the map?
• Driver I drive at an average speed of 70km/h, I drive 10 thousand km. How long did it take me?
• Points on line 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. 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 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 Negative dimensions are 36mm and 28mm. What will be the photo size in the 21:4 ratio?
• Map scale 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? Tree perpendicular to the horizontal surface has a shadow 8.32 meters long. At the same time meter rod perpendicular to the horizontal surface has shadow 64 cm long. How tall is tree?
• Rectangle 3-4-5 The sides of the rectangle are in a ratio of 3:4. The length of the rectangle diagonal is 20 cm. Calculate the content of the rectangle.
• Tower model Tower height is 300 meters, weight 8000 tons. How high is the model of the tower weight 1 kg? (State the result in the centimeters). The model is made from exactly the same material as the original no numbers need to be rounded. The result is a three-digi
• Gasoline For nearly full tank of 40 liters of gasoline chauffeur paid 54 euros. How many euros it will cost to go 250 km long if the car has an average fuel consumption 7 liters per 100 kilometers?
• Good swimmer Good swimmer swims 23 m distance with ten shots. With how many shots he swim to an island located 81 m if still swims at the same speed?
• Steps Patrick step is 65 cm long and his dad step is 10 cm longer. Dad goes bridge in 52 steps. How many steps will go the same bridge by Patrick?
• Gasoline consumption Skoda MB Consumption of cars for 100 km is 6.6 liters of gasoline 1 liter of gasoline costs € 1.274. How many euro grandfather spent when the car travelled 321 km.
• Two monuments The distance between two historical monuments on a map with a scale of 1: 500000 is 48 mm. Find the actual distance between these monuments in km.

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