What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 6.5? (5 points) A rectangle is shown. The length of the rectangle is labeled as 8 cm, and the width is labeled as 6 cm.
Perimeter = 54 cm, area = 181.25 cm2
Perimeter = 54 cm, area = 2,028 cm2
Perimeter = 182 cm, area = 2,028 cm2
Perimeter = 182 cm, area = 181.25 cm2

Perimeter = 182 cm, area = 2,028 cm2

Step-by-step explanation:

original perimeter=2*(8+6)+28 cm

original area=8*6= 48 cm²

You would have to do the old length and width times the scale factor

Multiply both of the width's

8 * 6.5 = 52 cm

scale factor: 6 * 6.5 = 39 cm

To get perimeter = 2(length + width)

2(52+39)=182 cm.

So you would have to do length(52 cm) * width(39 cm)

To get 2028 cm^2

the third one

Step-by-step explanation:

Because I’m right

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

step-by-step explanation: