A scale drawing of rectangle is made by using a scale factor of 5/8. The original in the scale drawing are shown below.

Which method can be used to find the dimensions of the original rectangle?

A scale drawing of rectangle is made by using a scale factor of 58 The original in the scale drawing are shown below Which method can be used to find the dimens class=

Respuesta :

Answer:  Multiply the lenght and the width of the  scale drawing of rectangle by [tex]\frac{8}{5}[/tex]

Step-by-step explanation:

Knowing that the scale factor used is:

[tex]scale\ factor=\frac{5}{8}[/tex]

You know that the dimensions of the scale drawing was obtained by multiplying the dimensions of the original rectangle by [tex]\frac{5}{8}[/tex].

Therefore, the dimensions of the original rectangle can be found with this method:

Multiply the lenght and the width of the  scale drawing of rectangle by [tex]\frac{8}{5}[/tex]

Then, you get:

[tex]lenght_{(original)}=(\frac{8}{5})(18\ inches)\\\\lenght_{(original)}=28.8\ inches\\\\\\width_{(original)}=(\frac{8}{5})(12\ inches)\\\\width_{(original)}=19.2\ inches[/tex]

Answer:

Answer is D.

Step-by-step explanation:

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