On a map, 2 inches represents 300miles. If two pointsare
1 answer:
Answer: The actual distance between them is 750 miles.
Step-by-step explanation:
We are given that ,
On a map, 2 inches represents 300 miles.
We know that the map is a similar design of an actual place.
So the length on map and the actual distance should be proportional.
Two points are separated by 5 miles on the map .
Let the actual distance be x.
By Equation of proportionality , we have
Therefore , the actual distance between them is 750 miles.
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The equations we get are
l = 6 + 2w (We get this from "The length of the rectangle is 6 more than 2 times the width.")
and
2l + 2w = 140 (We get this from the perimeter. Two times the length plus two times the width equals the perimeter of a quadrilateral.)
The first equation can be written as
l - 2w = 6
So now we have
2l + 2w = 140
l - 2w = 6
____________
Add the two equations.
We get 3l = 146
Divide by 3 on both sides.
l = 48
Your answer is 48.
l = 6 + 2w (We get this from "The length of the rectangle is 6 more than 2 times the width.")
and
2l + 2w = 140 (We get this from the perimeter. Two times the length plus two times the width equals the perimeter of a quadrilateral.)
The first equation can be written as
l - 2w = 6
So now we have
2l + 2w = 140
l - 2w = 6
____________
Add the two equations.
We get 3l = 146
Divide by 3 on both sides.
l = 48
Your answer is 48