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
