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Muna is making a scale drawing of a gecko. The gecko is 1:2 inch wide and 5 inches long. she decides to make her drawing of the gecko 1 inch wide. How long will the drawing be ? show your work

Respuesta :

Answer:

L= 0.83 in

Step-by-step explanation:

Width= 1.2 in when length = 1 in

Required

Determine the length when width = 1 in

First, we need to determine the ratio

Ratio = [tex]\frac{Width}{Length}[/tex]

Ratio = [tex]\frac{1.2}{1}[/tex]

Ratio = 1.2 ---(1)

Let the required length be represented with L

So:

Ratio = [tex]\frac{Width}{Length}[/tex]

Ratio = [tex]\frac{1}{L}[/tex] ---(2)

Equate (1) and (2)

[tex]\frac{1}{L}[/tex] = 1.2

Multiply through by 1.2

L * [tex]\frac{1}{L}[/tex] = 1.2 * L

1 = 1.2 * L

Divide through by 1.2

L = [tex]\frac{1}{1.2}[/tex]

L = 0.83 in (Approximated)

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