Question

The actual length of side t is 0.045 cm. Use the scale drawing to find the actual side length of w.

Answer 1

Answer:

Actual length of w is 0.075 units.

Step-by-step explanation:

Given the actual length of side t is 0.045 cm.

we have to use the scale drawing to find the actual side length of w.

As given the actual length of t is 0.045 cm.

Hence, we can find the scale factor using the lengths of t i.e actual length and after scale drawing by dividing.

Scale factor is $\frac{0.9}{0.045}=20$

Hence, we get the scale factor.

Now, $scale factor=\frac{\text{length in figure}}{\text{actual length}}$

⇒ $20=\frac{1.5}{\text{actual length}}$

⇒ Actual length of w is $\frac{1.5}{20}=0.075units$

Option B is correct.

Answer 2

Answer:

B. 0.075 cm

Step-by-step explanation:

We are given that the actual length of side t = 0.045 cm

The length in scale drawing of t = 0.9 cm

Since, the length of w in the scale drawing = 1.5 cm

Let the actual length of w = w cm

So, using proportions, we have,

$\frac{0.045}{0.9}=\frac{w}{1.5}$

i.e. $w=\frac{0.045\times 1.5}{0.9}$

i.e. $w=\frac{0.0675}{0.9}$

i.e. w= 0.075 cm

Thus, the actual length of the side w is 0.075 cm.