Question

Yuron is sketching a scale drawing of a famous painting. The painting is 54 inches wide and 72 inches long. He used a scale factor of Two-thirds to make his sketch. How many inches wide is Yuron’s sketch?

Answer 1

Yuron's painting is 36 inches wide.

Explanation:

Answer 2

Yuron's painting is 36 inches wide.

Explanation:

Given that Yuron is sketching a scale drawing of a famous painting which is 54 inches wide and 72 inches long. He used a scale factor of
`(2)/(3)` to make his sketch.

We are given to find the width of Yuron’s sketch.

Let, w and w' represents the width of the famous painting and Yuron's painting.

Then, w = 54 inches, w' = ?

We know that the scale factor is defined by

`S=(Length of a side of a dilated figure)/(Length of the corresponding side of the original figure)`

Therefore, we have

`(2)/(3) =(Width og Yuron's painting)/(Width of the famous painting)`

`(2)/(3) = (w)/(w)`

`(2)/(3)=(w)/(54)`

`(2)/(3)=(2*54)/(3)`

`w= 36`

Thus, Yuron's painting is 36 inches wide.