A map

A map of size 60cm by 25cm is reduced in the ratio of 3:5, twice. What are the new dimensions?

Correct result:

x =  21.6 cm
y =  9 cm

Solution:

$$\begin{gathered} a=60\text{ cm } \\ b=25\text{ cm } \\ k=(3\mathrm{/}5{)}^2={\displaystyle \frac{9}{25}}=0.36 \\ x=a\cdot k=60\cdot 0.36={\displaystyle \frac{108}{5}}={\displaystyle \frac{108}{5}}\text{ cm}=21.6\text{ cm} \end{gathered}$$

$y=b\cdot k=25\cdot 0.36=9\text{ cm}$

Try another example

Showing 0 comments:

Next similar math problems:

• Image scale
  The actual image dimensions are 60 cm x 80cm and has a reduced size 3 cm x 4 cm. At what scale the image was reduced?
• Two villages
  On the map with a scale of 1:40000 are drawn two villages actually 16 km away. What is their distance on the map?
• Ratios
  Reduce the numbers: 50 in a 1:2 ratio 111 at a ratio of 2:3 70 at 10:50 560 at a ratio of 3:8
• Plot
  The plot on which Mr. Kalous is to build a house has the shape of a rectangle. On a 1: 500 scale, its dimensions are 7cm and 5.5cm. Find out the dimensions of the plot. Calculate the parcel size.
• Proportion
  write the following proportion 8 is to 64 as to 2 is to x
• Ratio - rectangle
  The rectangle has dimensions 6 cm and 9 cm. How many times increases area and its perimeter, when its dimensions increase in the ratio 5:3?
• Ratio of perimeters
  Rectangle ABCD has dimensions 3 cm and 4 cm, KLMN rectangle has dimensions 4 cm and 12 cm. Calculate the ratio of the perimeter ABCD and perimeter KLMN.
• Table
  The circumference of the rectangle table is 420 cm. Length to width ratio is 5:2 . Calculate table dimensions and dimensions reduced in the ratio 3:5
• Scale of the map
  Determine the scale of the map, which is the actual distance of 120 km l represented by segment long 6 cm.
• Windows
  Calculate the area of masonry to build wall with dimensions of 9 m × 4 m with 4 windows of size 64 cm × 64 cm.
• Hřiště
  Map scale is 1: 5000. The playground is rectangular and on the map has dimensions 10 cm and 5 cm What is area of playground in square meters in reality?
• Scale of plan
  On the plan of the village in the scale of 1: 1000 a rectangular garden is drawn. Its dimensions on the plan are 25mm and 28mm. Determine the area of the garden in ares.
• Rectangle 45
  The perimeter of a rectangle is 60cm. If the length of the rectangle is 20cm. a)find the width b)find the area.
• Glass
  At the glass shop we have to cut 8 sheets of glass. Each was shaped a square with sides of 18 cm. We paid 44 CZK. How much is a 1 m² of glass?
• Tablecloths
  The restaurant has sixty-two square tablecloths with a side length of 150 cm and 36 rectangular tablecloths with dimensions of 140 cm and 160 cm. A) How many meters of hemming ribbon will be needed if we add 50 cm to each tablecloth? B) The ribbon sale in
• Bricks wall
  There are 5000 bricks. How high wall thickness of 20 cm around the area which has dimensions 20 m and 15 m can use these bricks to build? Brick dimensions are 30 cm, 20 cm and 10 cm.
• Plan of the village
  Plan of the municipality in 1:1000 scale has plotted garden with dimensions 25 mm and 28 mm. Determine the area of gardens in ares in reality.