Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Carmen drew a scale drawing of a house and its lot. In real life, the lawn in the backyard is $72\,\text{meters}$ long. It is $24\,\text{millimeters}$ long in the drawing. What is the scale of the drawing? $\newline$ $1\,\text{millimeter} : \_\_\_\,\text{meters}$

View step-by-step help

View step-by-step help

Scale drawings: word problems

Full solution

Q. Carmen drew a scale drawing of a house and its lot. In real life, the lawn in the backyard is

72\,\text{meters}

long. It is

24\,\text{millimeters}

long in the drawing. What is the scale of the drawing?

\newline

1\,\text{millimeter} : \_\_\_\,\text{meters}

Given Lengths: We have: $\newline$ Length of the lawn in real life = $72$ meters $\newline$ Length of the lawn in drawing = $24$ millimeters $\newline$ Choose the ratio of the length of the lawn in drawing to the length in real life. $\newline$ Ratio = Length of the lawn in drawing / Length of the lawn in real life $\newline$ Ratio = $24 \, \text{mm} / 72 \, \text{m}$
Calculate Ratio: Simplify $24\,\text{mm} / 72\,\text{m}$ . Divide $24$ and $72$ by their GCF, which is $24$ . $\newline$ $24/72 = 1/3$
Simplify Ratio: Scale of drawing: $(1\,\text{millimeter})/(3\,\text{meters})$ $\newline$ Determine the missing value in $1\,\text{millimeter} : \underline{\hspace{1cm}}\,\text{meters}$ . Scale of drawing: $(1\,\text{millimeter})/(3\,\text{meters})$ $\newline$ $1\,\text{millimeter}: 3\,\text{meters}$

More problems from Scale drawings: word problems

Question

\newline

1,000

\text{ milligrams}

\_\_\_\_

\text{ grams}

Posted 2 months ago

Question

3

-gallon bottle of bleach costs

\$11.52

. What is the price per quart?

\newline

Posted 2 months ago

Question

Maureen can't wait to make chocolate chip zucchini bread with zucchini from her garden. Her recipe calls for

8

ounces of chocolate chips per loaf. If she has enough zucchini to make

4

loaves of zucchini bread, how many pounds of chocolate chips does she need?

\newline

Hint: There are

16

1

\newline

Write your answer as a whole number, decimal, or simplified fraction. Do not round.

\newline

Posted 2 months ago

Question

A whale is swimming due north at a speed of

30

miles per hour. Just

5

miles away, a whale-watching tour boat is traveling south, directly toward the whale, at a speed of

46

miles per hour. How long will it be before they meet? If necessary, round your answer to the nearest minute.

\_\_\_\_

\_\_\_\_

Posted 2 months ago

Question

\newline

500

=

Posted 3 months ago

Question

\newline

2,000

=

Posted 3 months ago

Question

\newline

750

=

Posted 3 months ago

Question

\newline

1,500

=

Posted 3 months ago

Question

\newline

1,500

=

Posted 3 months ago

Question

The formula for the time it takes to travel a distance of

d

at an average speed

v

\frac{d}{v}

100

-meter dash at a speed of about

7.5

meters per second. What calculation will give us the estimated duration of Tessa's dash in seconds? Choose

1

\newline

\frac{7.5}{100}

\newline

\frac{100}{7.5}

\newline

\frac{7.5}{100 \times 60}

\newline

\frac{100 \times 60}{7.5}

Posted 4 months ago