Answer:
Widths are 2, 4, 5
Border or the perimeter of all these rectangles = 16
Perimeter of a rectangle
=> 2 ( L + W)
W = Width
L = Length
Area of a rectangle
=> L x W
First rectangle
Perimeter = 2(L+W)
=> 2 (L + 2) = 16
=> 2L + 4 = 16
=> 2L + 4 - 4 = 16 - 4
=> 2L = 12
=> 2L/2 = 12/2
=> L = 6
Length of the First Rectangle = 6
Area = L x W
=> 6 x 2 = 12
Area of the First Rectangle = 12
Second rectangle
Perimeter = 2( L + W)
=> 2 (L + 4) = 16
=> 2L + 8 = 16
=> 2L + 8 - 8 = 16 - 8
=> 2L = 8
=> 2L/2 = 8/4
=> L = 4
Length of the Second Rectangle = 4
Area = L x W
=> 4 x 4
=> 16
Area of the Second Rectangle = 16
Third Rectangle
Perimeter = 2 (L + W)
=> 2 (L + 5) = 16
=> 2L + 10 = 16
=> 2L + 10 - 10 = 16 - 10
=> 2L = 6
=> 2L / 2 = 6/2
=> L = 3
Length of the Third Rectangle = 3
Area = L x W
=> 3 x 5
=> 15
Area of the Third Rectangle = 15
To find which figure covers more spaces, we need to which figure has more area.
=> Rectangle 2 has the largest area = 16