Answer:
see below
Step-by-step explanation:
Answer in your own words:
Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape. Which can also be used to calculate the dimensions of the new figure or the original figure by simply substituting the values in the same formula.
• The scale factor of a dilated figure is denoted by 'r' or 'k'.
• If the scale factor is more than 1 (k > 1), the image is enlarged.
• If the scale factor is less than 1 (0< k <1), the image is contracted.
• If the scale factor is 1 (k = 1), the image remains the same.
• The scale factor cannot be zero.
Scale factor = k
Pre-image lengths: a, b
(perimeter = 2a + 2b)
Image lengths: ka, kb
(perimeter = 2ka + 2 kb or k (2a + 2b))
Marissa needs to say that the perimeter of the image is the perimeter of the pre-image times the same scale factor.
area of the pre-image = ab
area of the image = (ka)(kb) or k^2 (ab) (The area of the image is the area of the preimage times the square of the scale factor)
Scale factor 5 (then repeat it with scale factor 6)
length of the pre-image = 3 x 4
(perimeter = 2 (3 + 4) = 2(7) = 14)
length of the image = (3x5) x (4x5) = 15 x 20= 300
(perimeter = 2 (15 + 20) = 2 (35) = 70 or 14 x 5 = 70
area of the pre-image = 3 x 4 = 12
area of the image = 15 x 20 = 300
12 x (5^2) = 12 x 25 = 300
