You would use the pythagorean theorem to solve this equation: a^2 + b^2 = c^2
12^2 + b^2 = 20^2
b^2 = 16
x = 16
The scale used on the map is 1 centimeter to 12.5 kilometers.
<h3 /><h3>How to find the scale?</h3>
When we do a scale drawing of something in scale (like a map, that represents a given location) the dimensions suffer a change of scale.
This means that each unit on the scale drawing not represents the same unit on the original thing.
On this case we have a map where a actual distance of 50 kilometers is represented by a distance of 4cm (this means that each 4cm in the map are equivalent to 50 kilometers in the actual place).
Then the scale will be in cm to km, and to get the scale we can write:
4cm = 50km
Dividing both sides by 4 we get:
1cm = 50km/4 = 12.5 km
Then we conclude that the scale used for the map is 1 centimeter to 12.5 kilometers.
If you want to learn more about scale drawings:
brainly.com/question/15891755
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Answer:
hey
Step-by-step explanation:
to calculate perimeter, you require length,breadth
since points are given,find distance between points using distance formulae
<h2>root over (x2-x1)² +(
y2-y1)²</h2>
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<h3>Point H =(6,7)</h3><h3>Point I=(-6,-9)</h3><h3>Point J=(-10,-6)</h3><h3>Point G=2,10)</h3>
Now find distance between HI and IJ
HI gives the distance - length of rectangle
IJ gives the distance - breadth of rectangle
use the formulae ,2(length+breadth) to get perimeter
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HI= root over 144+256= root 400
HI=20
IJ= root over 16+9= root 25
IJ=5
PERIMETER =2(20+5)
2×25
=50