A researcher records the following data for how participants rated the likability (on a scale from 1 = not liked at all to 7 = very likable) of an individual who blushed after making a mistake: 5, 4, 7, 6, 6, 4, 6, 7, 2, 5, and 6. Is the mode equal to the median in this example?

1. 14 ft

2. 72 in

3. 11 ft, 28 ft

4. 8 in, 96 in

Step-by-step explanation:

1. The area of a rectangle = length x width. The area is 28 sq ft and the width is 2ft, therefore:

28 = length x 2

length = 28/2 = 14 ft.

2. The perimeter is (length x 2)+(width x 2). The perimeter is 86 in and the length is 25 in, therefore:

86 = (25 x 2) + (width x 2) = 50 + (width x 2)

36 = width x 2

36/2 = width = 72 in.

3. The area is 33 sq ft and the width is 3 ft, therefore:

33 = length x 3

33/3 = length

length = 11 ft

The perimeter is (length x 2)+(width x 2), therefore:

p = (11 x 2) + (3 x 2) = 22 + 6 = 28 ft.

4. The perimeter is 40 in and the length is 12 in, therefore:

40 = (12 x 2) + (width x 2) = 24 + (width x 2)

40 - 24 = width x 2 = 16

width = 16/2 = 8 in.

The area is length x width, therefore:

Area = 12 x 8 = 96 in.