Rashida makes a scale drawing for a crate with a scale factor of 1:2. The dimensions of her scale drawing are 20 inches long by 12 inches wide. The builder crate with a scale factor of 1:8

Respuesta :

Answer:

The builder's drawing dimensions are 5 inches long and 3 inches wide.

Step-by-step explanation:

As given,

The dimensions of Rashida scale drawing = 20 inches long by 12 inches wide

Now,

Also given Rashida makes a scale drawing for a crate with a scale factor of 1:2

Now,

Let the actual dimensions of Rashida drawings = x inches long by y inches wide

⇒[tex]\frac{1}{2}x = 20 , \frac{1}{2}y = 12[/tex]

⇒x = 40 , y = 24

∴ we get

The actual dimensions of Rashida drawings is 40 inches long by 24 inches wide

Now,

Given, The builder crate with a scale factor of 1:8

So, The dimensions of builder's drawing is [tex]\frac{1}{8}(40)[/tex] inches long by [tex]\frac{1}{8}(24)[/tex] inches wide

∴ we get

The builder's drawing dimensions are 5 inches long and 3 inches wide.

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