Question

Kristin is making a model of the artwork shown in the scale $1\text{inch}=2\text{feet}$. If the height of the artwork is 10 feet, what will the height of the model be?

Short answer

The height of the model will be $10\mathrm{feet}$$5\mathrm{inches}$.

Step-by-step solution

Step 1. Given.

Height of the artwork is$10\mathrm{feet}$

Step 2. Observe the given diagram.

The given diagram is:

Step 3. Determine the height of the model.

It is given that Kristin is making a model of the artwork shown in the scale of$1\text{inch}=2\text{feet}$ and the height of the artwork is 10 feet.

As 1 inch of the model is equal to the 2 feet of the artwork.

Therefore, 1 foot of the artwork will be equal to:

$\frac{1}{2}\text{inch}$of the model.

Therefore, 10 feet of the artwork will be equal to:

$\frac{1}{2}\times \text{10inchofmodel}=\text{5inchofmodel}$

Therefore, the height of the model will be 5 inches.