# Janelle is viewing an image of a sculpture. She enlarges it using a scale of 0.2 cm to 1/8 ft. How many centimeters in the image are used to

Question

Janelle is viewing an image of a sculpture. She enlarges it using a scale of 0.2 cm to 1/8 ft. How many centimeters in the image are used to show 1 foot of the sculpture?

in progress 0
1 year 2021-08-20T18:21:40+00:00 2 Answers 0 views 0

1. Given :

Janelle is viewing an image of a sculpture. She enlarges it using a scale of 0.2 cm to 1/8 ft.

To Find :

How many centimetres in the image are used to show 1 foot of the sculpture.

Solution :

Ratio of enlargement is :

$$R=\dfrac{\text{Size in feet}}{\text{Size in cm}}\\\\R=\dfrac{\dfrac{1}{8}}{0.2}\\\\R=\dfrac{5}{8}\ ft/cm$$

Let, enlarged size of 1 foot required x cm of image.

$$\dfrac{1}{x}=\dfrac{5}{8}\\\\x=\dfrac{8}{5}\\\\x=1.6\ cm$$

Therefore, 1.6 cm of image is required.

Hence, this is the required solution.