Q64. - Algebra 1

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?

Step-by-Step Solution

Answer

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

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:

$\frac{1}{2}\times \text{10 inch of model}=\text{5 inch of model}$

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