Question

Jenna is creating a mural for her bedroom wall. She would like to copy a picture that is 2 inches by 2.5 inches. She uses a copy machine to enlarge it by a factor of 4. Then she projects it on her wall at a factor of 12. What are thedimensions of the mural. are the pictures similar ​

Answer 1

Part A) The dimensions of the mural are
`96\ in` by
`120\ in`

Part B) Yes, the pictures are similar, because the ratio of its corresponding sides is equal

Explanation:

Part A) What are the dimensions of the mural

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and this ratio is called the scale factor

In this problem

To find the dimensions of the mural multiply the original dimensions by 4 and then by 12

so

`2\ in=2(4)(12)=96\ in`

`2.5\ in=2.5(4)(12)=120\ in`

Part B) Are the pictures similar ​?

The pictures are similar, because the ratio of its corresponding sides is equal

Verify the ratio of its corresponding sides

`(96)/(2)=(120)/(2.5)`

`48=48` ------> is true

therefore

The pictures are similar