Question

match the measureable quantity given by its formula with the appropriate units.
area = (length)(width)
speed = distance/time
perimeter = 2 (length) + 2 (width)
volume = (length)(width)(height)
square meters
meters
cubic centimeters
meters per second

Explanation:

Step1: Match area to squared units

Area is 2-dimensional, so its units are squared. For length × width, $\text{length unit} \times \text{width unit} = \text{square unit}$, so square meters fits.

Step2: Match speed to distance/time units

Speed is distance divided by time, so $\frac{\text{distance unit}}{\text{time unit}} = \text{meters per second}$, which fits.

Step3: Match perimeter to length units

Perimeter is sum of lengths, so $\text{length unit} + \text{length unit} = \text{length unit}$, so meters fits.

Step4: Match volume to cubed units

Volume is 3-dimensional, so $\text{length unit} \times \text{width unit} \times \text{height unit} = \text{cubic unit}$, so cubic centimeters fits.

Answer:

1. area = (length)(width) → square meters
2. speed = distance/time → meters per second
3. perimeter = 2(length) + 2(width) → meters
4. volume = (length)(width)(height) → cubic centimeters