Question

Kinsley took a panoramic picture that is 4 1/4 inches tall. The picture is 5 times as long as it is tall. How long is Kinsley's picture?

Write your answer as a fraction or as a whole or mixed number.

inches

Answer 1

To find the length of Kinsley's picture, we start by noting that the height is given as \( 4 \frac{1}{4} \) inches.

First, we convert \( 4 \frac{1}{4} \) into an improper fraction.

\[
4 \frac{1}{4} = 4 + \frac{1}{4} = \frac{16}{4} + \frac{1}{4} = \frac{16 + 1}{4} = \frac{17}{4}
\]

Now, we know that the length of the picture is 5 times its height. Therefore, we can set up the equation for the length \( L \):

\[
L = 5 \times \text{height}
\]

Substituting the height:

\[
L = 5 \times \frac{17}{4}
\]

To calculate this, we multiply 5 by the fraction:

\[
L = \frac{5 \times 17}{4} = \frac{85}{4}
\]

Next, we can convert \( \frac{85}{4} \) into a mixed number. We divide 85 by 4:

\[
85 \div 4 = 21 \quad \text{with a remainder of} \quad 1
\]

Thus, we can express \( \frac{85}{4} \) as:

\[
21 \frac{1}{4}
\]

Thus, the length of Kinsley's picture is:

\[
\boxed{21 \frac{1}{4}} \text{ inches}
\]