Scale factor 2

Nadeem has a 10 inch by 10 inch photo album. He wants to make as large a copy of the original photo as possible to fit the album. Whats are the largest dimensions the copy can be if he keeps the proportion of the original photo? Explain your answer. .. . original photo is 5 inches by 8 inches.

Correct answer:

x =  6.25 inch
y =  10 inch

Step-by-step explanation:

$$\begin{gathered} a=5\text{ inch } \\ b=8\text{ inch } \\ c=10\text{ inch } \\ k=c\mathrm{/}b=10\mathrm{/}8={\displaystyle \frac{5}{4}}=1.25 \\ x=k\cdot a=1.25\cdot 5={\displaystyle \frac{25}{4}}={\displaystyle \frac{25}{4}}\text{ inch}=6.25\text{ inch} \end{gathered}$$

$y=k\cdot b=1.25\cdot 8=10\text{ inch}$

Try another example

Related math problems and questions:

• Photo enlarge
  Mark wants to enlarge a 4-inch by 6-inch photo so that it has a height of 15inches. Use a ratio table to determine the new width of the photo.
• Map 2
  At what scale is made map if the distance 8.2 km corresponds on the map segment 5 cm long?
• Two villages
  Two villages are 11 km and 500 m away. On the map, their distance is determined by a 5 cm long line. Find the scale of the map.
• Map scale
  Garden has on plan on a scale of 1: 150 width 22 cm and length 35 cm. What is the real area of the garden?
• The scale
  The distance of 15 cm on the map corresponds to a distance of 27 km in reality. What is the scale of the map?
• Map
  Forest has an area of ​​36 ha. How much area is occupied by forest on the map at scale 1:500?
• 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)
• 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.
• 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.
• Scale of the map
  Determine the scale of the map if the actual distance between A and B is 720 km and distance on the map is 20 cm.
• Map scale
  The rectangular plot has a scale of 1: 10000 area 3 cm² on the map. What content does this plot have on a 1:5000 scale map?
• 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?
• 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.
• Scale of the map
  Determine the map's scale, which is the actual distance of 120 km l represented by a segment long 6 cm.
• Scale
  The swimming pool is long 110 m and 30 m wide. The plan of the city is shown as a rectangle with an area 8.25 cm². What scale is the city plan?
• 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?