Question

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

A) 0.06 cm
B) 0.075 cm
C) 0.45 cm
D) 0.75 cm

Answer 1

B. 0.075 cm

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,

`(0.045)/(0.9)=(w)/(1.5)`

i.e.
`w=(0.045* 1.5)/(0.9)`

i.e.
`w=(0.0675)/(0.9)`

i.e. w= 0.075 cm

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

Answer 2

Actual length of w is 0.075 units.

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
`(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
`(1.5)/(20)=0.075units`

Option B is correct.