Question

A painting is 2 in tall and 3 in wide. If it is enlarged to a width of 15 in then how tall will it be?

Answer 1

hey!

your answer is

10 inches

Explanation:

the answer is this because,

15 inches is 3 inches times by 5

so we would have to times 2 inches by 5 to get 10 inches

so the dimensions would be 10 inches in length and 15 inches in width

hope this helps

Answer 2

10 in

Explanation:

Old proportions:

2 x 3

New proportions

h x 15

Assuming the painting has been increased by a constant scale factor.

Where x is the unknown scale factor, and h is the height after it has been enlarged.

`3 * x = 15\\2 * x = h`

Rearrange second equation:

`3 * x = 15\\x =(h)/(2)`

Substitute:

`3*(h)/(2) =15\\(h)/(2)=5\\h=10`