Question

George reduced the size of a painting to a width of 2 in. What is the new height of the painting if it originally was 10 in wide and 16 in tall?

Answer 1

3.2 inches

Explanation:

We know that the original painting was 10 inches wide by 16 inches tall.

Our new painting is 2 inches wide by x inches tall.

So, we can write the following proportion:

`(10)/(16)=(2)/(x)`

The numerator represents the widths, and the denominator represents the lengths.

Also, note that we align vertically the original and new dimensions.

So, to find our new height, solve for x.

First, we can reduce the fraction on the left:

`(5)/(8)=(2)/(x)`

Cross multiply:

`16=5x`

Divide both sides by 5:

`x=16/5=3.2`

So, our new height is 3.2 inches.

And we're done!