SOLUTION: A rectangular field is 80 meters long and N meters wide. A scale drawing of the field is N centimeter long and 5 centimeter wide . Find N

Question 1109373: A rectangular field is 80 meters long and N meters wide. A scale drawing of the field is N centimeter long and 5 centimeter wide . Find N

Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The length:width ratio is
or for the field measurements,
and or for the scale drawing.
Because it is a scale drawing, those ratios are the same, so
.
Solving that equation, we get

.
So, the field is 20 meters wide,
and the scale drawing is 20 centimeters long.

NOTES:
1) The length:width ratios are numbers with no units:
and .
Unless you convert units, the scale factor is a ratio with units:

or
.
2) The problem could have been solved by equating
"calculated" scale factors for length and width,

or for length,
and or for width.
That is a different reasoning,
and may be a teacher-preferred way to the solution,
but both reasoning are sound and lead to the same result.
In this case, equations without explanations may not raise teacher's objections.
Using the scale factors with units,
equating scale factors leads to the same
equation listed above,
because the same was given for width of one rectangle
and length of the other one.
RELATED QUESTIONS
Give the length and width of another rectangular field that has the same perimeter but a... (answered by dkppathak)

A rectangular field is 80 meters wide and 120 meters long. A coach asks players to run... (answered by josgarithmetic,ikleyn,Alan3354)

a rectangular field is 85 long and 50 meters wide. give the length and width of... (answered by checkley79)

A rectangular field is 125 meters long and the length of one diagonal of the field is 150 (answered by zarsya)

A rectangular field is 0.3 kilometers long and 0.25 kilometers wide. What is the area of... (answered by solver91311)

A rectangular field is 90 meters wide and 120 meters long. A pathway is drawn diagonally... (answered by Cromlix)

A rectangular field is 100 meters long and 65 meters wide. Give the length and width of... (answered by Alan3354,ankor@dixie-net.com)

A rectangular field is 85 meters wide and 135 meters long. Give the length and width... (answered by Alan3354)

A rectangular field is 130 meters long and 85 meters wide. Give the length and (answered by simranb)