contestada

can someone plss help me? Asap i still don't get the hang of Scale Factors

1. If the scale factor between the original and the image is 4, how many times larger is the perimeter of the image than the original?



2. If the scale factor between the original and the image is 0.5, how many times is the perimeter of the image than the original?


3.The perimeter of an original figure is 14. If the image has a scale factor of 6 from the original, what is the perimeter of the image?


4.The perimeter of an original figure is 64. If the image has a scale factor of 0.25 from the original, what is the perimeter of the image?

Respuesta :

Problem 1

Answer: New perimeter is 4 times larger than the original

----------

Explanation:

This is because we are multiplying each side by 4 to make each side 4 times larger than the original.

Let's say we had a triangle with side lengths 1,2,3

The perimeter would be 1+2+3 = 6

Now multiply each side by 4

4*1 = 4

4*2 = 8

4*3 = 12

Then add up those new side lengths: 4+8+12 = 24

We see that 24 is exactly 4 times larger than 6

In more general terms, say the triangle has side lengths x y and z

The old perimeter is simply x+y+z

The new perimeter is 4x+4y+4z = 4(x+y+z) = 4*(original perimeter)

==========================================

Problem 2

Answer: New perimeter is 0.5 times larger than the old perimeter

In other words, the new perimeter is half as large

----------

Explanation:

The same idea applies as in problem 1. The only difference is that we're multiplying each side by 0.5 now

1/2 = 0.5

==========================================

Problem 3

Answer: 84

----------

Explanation:

We're using the same idea as the other problems above.

new perimeter = (scale factor)*(old perimeter)

new perimeter = (6)*(14)

new perimeter = 84

==========================================

Problem 4

Answer:  16

----------

Explanation:

Same idea as before

new perimeter = (scale factor)*(old perimeter)

new perimeter = (0.25)*(64)

new perimeter = 16

As you can see, if the scale factor is larger than 1, then the new perimeter will be larger. If the scale factor is smaller than 1, but still positive, then the new perimeter will be smaller.

billgkgk

Answer: The scale Factor is the number that you Multiply the Original Lengths by to get the new lengths.

1.) The new length is 4 times the original. 4× L

2.) The new length is 0.5 times the original. 0.5× L

3.) 84. 6×14 = 84

4.) 16. 64× 0.25 = 16

Step-by-step explanation:

For lines --- like sides, perimeter, and distance, Multiply the original number by the Scale Factor to get the new number. Or Divide the New number by the Scale Factor to get the Original.

(They ask that sometimes.)

__Also remember that length refers to lines__.

[ Area refers to Square Units. The Factor must also be squared. ]

Otras preguntas