theredhoodgirl2076 theredhoodgirl2076
  • 15-11-2019
  • Mathematics
contestada

What would the length of a shape with 10 inches as width be with a shape similar with a length of 4 and a width of 6?

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calculista
calculista calculista
  • 28-11-2019

Answer:

The length of a shape is 20/3 inches

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

Let

x ----> the length of a shape in inches

Set the proportion

[tex]\frac{x}{4}=\frac{10}{6}[/tex]

solve for x

[tex]x=\frac{10}{6}(4)[/tex]

[tex]x=\frac{40}{6}\ in[/tex]

Simplify

[tex]x=\frac{20}{3}\ in[/tex]

therefore

The length of a shape is 20/3 inches

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