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Ostrovityanka [42]
2 years ago
6

On one map of a town, the scale from the town to the map is 12mi:

Mathematics
1 answer:
Yuri [45]2 years ago
6 0

The distance between the school and the library is less. Then the library is closer to school.

<h3>What is dilation?</h3>

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

There is no effect of dilation on the angle.

On one map of a town, the scale from the town to the map is 12mi:3cm.

The school is 2.5cm from the grocery store on this map.

Then the distance between the school and the grocery store will be

⇒ (12 / 3) x 2.5

⇒ 10 miles

On a different map of the same town, the scale from the town to the make is 12mi: 2cm.

The school is 1.5cm from the library on that map.

Then the distance between the school and the library will be

⇒ (12 / 2) x 1.5

⇒ 9 miles

Thus, the distance between the school and the library is less.

Then the library is closer to school.

More about the dilation link is given below.

brainly.com/question/2856466

#SPJ1

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The length of a rectangle is four times its width. If the area of the rectangle is 324m^2, find its perimeter.
Anuta_ua [19.1K]

Answer:

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Step-by-step explanation:

We know that the length is four times the width, so:

l=4w

We also know the area, which is 324 m². The formula for area:

A=l*w

Insert the known values:

324=(4w)*w

Solve for w. Simplify by removing parentheses:

324=4w*w\\324=4w^2

Divide 4 from both sides to isolate the variable:

\frac{324}{4}=\frac{4w^2}{4}  \\\\81=w^2

Find the square root of both sides:

\sqrt{81} =\sqrt{w^2} \\\\w=9

The width is 9 m.

We know the width. Now find the length by using the area formula and inserting known values:

324=l*9

Solve for l. Divide both sides by 9:

\frac{324}{9}=\frac{l*9}{9}\\\\  l=36

The length of the rectangle is 36. (You can check: 4 times 9 is 36)

Now find the perimeter:

P=2l+2w

Insert values:

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