Question

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

Answer 1

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

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

⇒
`(1)/(2)x = 20 , (1)/(2)y = 12`

⇒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
`(1)/(8)(40)` inches long by
`(1)/(8)(24)` inches wide

∴ we get

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