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Nutka1998 [239]
3 years ago
12

on the scale of a map 4 cm represent 20 km if the distance between two points is 10 cm what is the actual distance between this

points​
Mathematics
1 answer:
natali 33 [55]3 years ago
3 0

Answer:

50 km

Step-by-step explanation:

Given

r = 4cm : 20km -- Scale ratio

Required

Actual representation of 10cm

Let the actual measurement be x.

So, we have:

r =10cm:x

Equate both value s of r

10cm : x = 4cm : 20km

Express as fraction

\frac{x}{10cm } =\frac{20km}{4cm}

Multiply by 10cm

10cm * \frac{x}{10cm } =\frac{20km}{4cm} *10cm

x =\frac{20km}{4} *10

x =5km *10

x =50\ km

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