Question

A particular red Oak leaf measures 6 inches from tip to stem. In a scale drawing the red oak leave measures 1.5 inches from tip to stem. Using the same scale, and drawing of a post oak leave measures 0.8 inch from tip to stem. What is the actual length of the post oak leaf?

Answer 1

Answer: $3.2\ inches$

Step-by-step explanation:

We know that:

-The actual lenght from the tip to the stem of a red oak leaf is 6 inches.

- In the scale drawing this lenght is 1.5 inches.

- In the scale drawing the lenght from tip to stem of a post oak leaf is 0.8 inches.

- The scale used on both drawings are the same.

Then, let be "x" the actual length (in inches) of the post oak leaf.

Based on the data provided in the exercise, we can write the following proportion:

$\frac{6}{1.5}=\frac{x}{0.8}$

Finally, we must solve for "x" in order to find its value.

We get this result:

$(0.8)(\frac{6}{1.5})=x\\\\x=3.2$

Therefore, the actual length of the post oak leaf is $3.2\ inches$