Question

PLEASE HELP ASAP
2. Rectangle 1 has length x and width y. Rectangle 2 is made by multiplying each dimension of Rectangle 1 by a factor of k, where k > 0.
(a) Are Rectangle 1 and Rectangle 2 similar? Why or why not?
(b) If k is 3 What is the ratio of the areas?
(c) If k is 2, what is the ration of the volumes?
Answer:

Answer 1

a) Rectangles are similar

b) 1 : 9

c) No volume

Step-by-step explanation:

Step 1 :

Given

The length and width of rectangle1 is x and y

The length and width of rectangle2 is kx and ky

Step 2 :

a)

2 rectangles are similar when the sides of the rectangles are proportional

Since here we have the sides of rectangle 2 obtained by multiplying each  side of the first rectangle by a non zero constant term , the 2 given rectangles are proportional

Step 3 :

b)

Area of rectangle1 is x * y

Area of rectangle is 3x * 3y = 9xy (given k = 3)

Ratio of the areas is xy : 9 xy = 1 : 9

Step 3 :

Given k = 2

There is no volume for a 2 dimensional figure