Answer:
The scale factor for the dilation of rectangle ABCD to rectangle MNOP is 
⇒ B
Step-by-step explanation:
In similar rectangles, their corresponding dimensions are proportional, which means 
= 
, where L is the length and W is the width
∵ Rectangle ABCD is similar to rectangle MNOP
∴ Their dimensions are proportional
∵ The dimensions of rectangle ABCD are 6 m, 14 m
∴ L
= 14 and W = 6
∵ The dimensions of rectangle MNOP are 4.5 m, 10.5 m
∴ L
= 10.5 and W = 4.5
∵ The rectangle MNOP is the image of rectangle ABCD after dilation
→ To find the scale factor of dilation find the ratio between the
corresponding dimensions in the two rectangles (image/pre-image)
∵ 
= 
=
∵ 
= 
=
∴ The scale factor for the dilation is
The scale factor for the dilation of rectangle ABCD to rectangle MNOP is
Answer:
Area = 12
Step-by-step explanation:
The perpendicular bisector of the triangle going from upper left to the middle marks the height of the triangle. It's area is found from the standard formula.
Area = b * h / 2
b = 2 + 2 = 4
h = 8
Area = 1/2 * 4 * 8
Area = 1/2 * 32
Area = 16
The smaller triangle is found from all the twos.
b = 2 + 2 same as the larger triangle
h = 2
Area = 1/2 2 * 4
Area = 1/2 8
Area = 4
Total Area = 4 + 16
Total Area = 20
Answer:
-3
Step-by-step explanation:
divide 7 on both sides -21/7 = -3
w=-3
It works because even if the numbers are broken apart, you are still multiplying the numbers by their values, it's only different because once broken apart, it's in expanded form instead of standard form. It also makes multiplication easier since you don't have to deal with such large numbers.
