6Use the drawing below to answer the questions that follow.16 feet8 feet11 feet7 feetPart AWhat is

4 answers
Question:

6 Use the drawing below to answer the questions that follow.
16 feet
8 feet
11 feet
7 feet
Part A
What is the scale factor used when going from the larger rectangle to the smaller one?

Answers

1.14 is the scale factor

- The scale factor is one-half

- The perimeter of the model is the product of the scale factor and the perimeter of the original rectangle

-The area of the reduced figure is (1/2)^2 = 1/4 times the area of the original figure

Step-by-step explanation:

The ratio of the length of the original rectangle to that of the reduced rectangle is 6 to 3, or a factor of 1/2. The ratio of the width of the original rectangle to that of the reduced rectangle is 2 to 1, or, again, a factor of 1/2. So, because this ratio of 1/2 is constant, we know the total scale factor is 1/2, making B correct.

The perimeter of a rectangle is: [tex]P=2l+2w[/tex], where l is the length and w is the width. The perimeter of the reduced figure is: P = 2 * 3 + 2 * 1 = 6 + 2 = 8 units. The perimeter of the original figure is: P = 2 * 6 + 2 * 2 = 12 + 4 = 16 units.

Notice that 16 * (1/2) = 8, which means that the perimeter of the scale-factored, reduced rectangle is "the product of the scale factor (which is 1/2) and the perimeter of the original rectangle (which is 16)". So, C is correct.

The area of a rectangle is: [tex]A=lw[/tex], where l is the length and w is the width. The area of the reduced figure is: A = 3 * 1 = 3 units squared. The area of the original figure is: A = 6 * 2 = 12 units squared.

Notice that 12 * (1/4) = 3, which means that E is correct, but D is wrong.

Hope this helps!

Statement 2: The scale factor is One-half

Statement 3: The perimeter of the model is the product of the scale factor and the perimeter of the original rectangle.

Statement 5: The area of the reduced figure is (One-half) squared, one-fourth times the area of the original figure.

Step-by-step explanation:

A smaller rectangle has a length of 3 and width of 1

Perimeter: 2(3+1) = 8

Area: 3×1 = 3

A larger rectangle has a length of 6 and width of 2

Perimeter = 2(6+2) = 16

Area = 6×2 = 12

Comparing areas:

Smaller : larger

3 : 12

1 : 4

Comparing perimeters:

Smaller : larger

8 : 16

1 : 2

The scale factor would be the ratio between the similar sides. Look at the picture below. These are two similar rectangles. Side AB corresponds to side EF. So the scale factor would be the length of the new rectangle divided by the length of the corresponding side for the original rectangle.

4/8 = 1/2

So the scale factor is 1/2. Note: If you're going from a bigger shape to a smaller one, you know that the scale factor must be less than 1. Similarly, if you're going from a smaller shape to a bigger shape, you know that the scale factor must be greater than 1.

And you have to divide the corresponding sides. If you knew side BD, you couldn't divide it from 4, because BD and EF aren't corresponding sides.
[tex]What is the scale factor used when going from a larger rectangle to the smaller one? if this is eve[/tex]

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