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

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

⇒$\frac{1}{2}x = 20 , \frac{1}{2}y = 12$

⇒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 $\frac{1}{8}(40)$ inches long by $\frac{1}{8}(24)$ inches wide

∴ we get

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