Carmen drew a scale drawing of a house and its lot. In real life, the lawn in the backyard is 72 meters long. It is 24 millimeters long in the drawing. What is the scale of the drawing? 1 millimeter : ____ meters

Given Lengths: We have: Length of the lawn in real life = 72 meters Length of the lawn in drawing = 24 millimeters Choose the ratio of the length of the lawn in drawing to the length in real life. Ratio = Length of the lawn in drawing / Length of the lawn in real life Ratio = 24 mm / 72 mCalculate Ratio: Simplify 24 mm / 72 m. Divide 24 and 72 by their GCF, which is 24. 24/72 = 1/3Simplify Ratio: Scale of drawing: (1 millimeter)/(3 meters) Determine the missing value in 1 millimeter : ____ meters. Scale of drawing: (1 millimeter)/(3 meters) 1 millimeter: 3 meters

Resources

Testimonials

Plans

Resources

Testimonials

Plans

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

Home

Math Problems

Algebra 1

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: $(1\,\text{millimeter})/(3\,\text{meters})$ $\newline$ $1\,\text{millimeter}: 3\,\text{meters}$