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The sides of an oblong are in the ratio of 4:3. The oblong has a length of 12 cm and is increased by a scale factor of 2.5. What will the increased width be

Sagot :

yersanabria

Answer:

If the scale factor is increased in 2.5, the increased width will be:

  • 22.5 cm

Step-by-step explanation:

Remember that an oblong is longer than it is wide, by this reason, the ratio of 4:3 could mean, if we give a number, by each 4 cm in the length, there is 3 cm in the width, in this form, if the oblong has a length of 12 cm, the width is:

  • 4 cm ⇒ 3 cm
  • 12 cm ⇒ x

So:

  • [tex]x=\frac{12 *3}{4}[/tex]
  • [tex]x=\frac{36}{4}[/tex]
  • [tex]x=9[/tex]

Then, the original width is 9 cm, as the scale factor must be increased 2.5, we can multiply the found width to obtain the increased width:

  • Increased width = 9 cm * 2.5
  • Increased width = 22.5 cm

As you can see, the increased widt will be 22.5 cm.

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