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yarga [219]
3 years ago
9

A rhombus is enlarged and has a new perimeter of 40 feet. If the original perimeter was 10 feet, by what factor was the rhombus

enlarged?
Mathematics
2 answers:
Gwar [14]3 years ago
8 0
If the original perimeter was 10 and it is now 40, then the rhombus was enlarged by a scale factor of 4.
n200080 [17]3 years ago
3 0

Answer: The rhombus was enlarged by scale factor of 4.

Step-by-step explanation:

We know that the scale factor is the ratio of the new image to the original image.

Let k be the scale factor, then

k=\frac{\text{Perimeter of new rhombus}}{\text{perimeter of original rhombus}}\\\\\Rightarrow\ k=\frac{40}{10}\\\\\Rightarrow\ k=4

Therefore, the rhombus was enlarged by scale factor of 4.

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Por un sistema de ecuaciones, tiene-se que:

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-------------------------

  • Considera-se un sistema de ecuaciones, con cada boligrafo custando x y cada lapiz custando y.
  • <u>Boligrafo cuesta 30 mas que un lapiz</u>, o sea, x = 30 + y
  • <u>8 boligrafos y 15 lapices cuesta 700</u>, o sea, 8x + 15y = 700

-------------------------

  • Aplicando el <u>primer ecuación en la segunda, </u>tiene-se el cuesto de cada lapiz:

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-------------------------

Por fin, el cuesto de cada boligrafo es dado por:

x = 30 + y = 30 + 20 = 50

Cada boligrafo cuesta 50 ptas.

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