Chapter 11: Q. 5 QC (page 667)

DRAWING Rosie is making a scale drawing. She is using the scale $1 inch = 3 feet$ . How many inches will represent 10 feet?

Short Answer

Expert verified

$\frac{10}{3}$ inches will represent 10 feet.

Step by step solution

Step 1. Write a proportion.

Let $l$ be the length in inches, such that,

$\frac{1}{3} = \frac{l}{10}$

Step 2. Means-Extremes Property of proportion

If $\frac{p}{q} = \frac{r}{s}$ and $q, s \neq 0$ then $p s = q r$ .

Step 3. Cross product.

Find the cross products.

$\begin{matrix} 1 (10) = 3 (l) \\ 10 = 3 l \end{matrix}$

Step 4. Divide.

Divide each side of the obtained equation by 3.

$\begin{matrix} \frac{10}{3} = \frac{3 l}{3} \\ l = \frac{10}{3} \end{matrix}$

Therefore, the $\frac{10}{3}$ inches will represent 10 feet.

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DRAWING Rosie is making a scale drawing. She is using the scale $1 inch = 3 feet$ . How many inches will represent 10 feet?

Short Answer

Step by step solution

Step 1. Write a proportion.

Step 2. Means-Extremes Property of proportion

Step 3. Cross product.

Step 4. Divide.

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DRAWING Rosie is making a scale drawing. She is using the scale 1inch=3feet. How many inches will represent 10 feet?

Short Answer

Step by step solution

Step 1. Write a proportion.

Step 2. Means-Extremes Property of proportion

Step 3. Cross product.

Step 4. Divide.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Theoretical and Mathematical Physics

Decision Maths

Statistics

Applied Mathematics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

DRAWING Rosie is making a scale drawing. She is using the scale $1 inch = 3 feet$ . How many inches will represent 10 feet?