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3 years ago

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A map of Brunswick County has a scale of 1.5 inches = 5 mile. If the actual Distance from Lawrenceville to Brodnax is 10 miles,

what is the distance on the map?

1 answer:

ziro4ka [17]3 years ago

6 0

The distance on the map is 3 inches. We know 5 is half of 10 so we multiple 5 by 2 and get 10. Now we do the same thing to the 1.5 inches. 1.5*2=3.

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nikdorinn [45]

Answer:

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Step-by-step explanation:

<u>Given:</u>

Polygon <em>C </em>has an area of 40 square units.

It is scaled with a scale factor of $\frac{1}2$ to form a new polygon D.

<u></u>

<u>To find:</u>

The area of polygon D = ?

<u>Solution:</u>

When any polygon is scaled to half, then all the sides of new polygon are half of the original polygon.

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Let us consider this by taking examples:

First of all, let us consider a right angled triangle with sides <em>6, 8 and 10 units.</em>

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New area, A':

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Let us consider a rectangle now.

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Area of a rectangle, A = $Length \times Width$ = 8 $\times$ 10 = 80 sq units.

Now after scaling, the sides will be 4 and 5 units.

New Area, A' = 4 $\times$ 5 =20 sq units

So, $\bold{A' = \frac{1}4 \times A}$

Now, we can apply the same in the given question.

$\therefore$ Area of polygon D = $\bold{\frac{1}{4}}$ $\times$ Area of polygon C

Area of polygon D = $\bold{\frac{1}{4}}$ $\times$ 40 = <em>10 sq units</em>

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