Final answer:
Using the area formula for a rectangle, we divide the given area of 100 by the width of 5 to determine that the height of the rectangle is 20 units, corresponding to answer choice A).
Step-by-step explanation:
To find the height of a rectangle when the area and the width are known, you can use the formula for the area of a rectangle, which is Area = width × height. Given that the area of the rectangle is 100 and the width is 5, we can set up the following equation to solve for the height:
Area = width × height
100 = 5 × height
Now, divide both sides of the equation by the width to find the height:
height = Area ÷ width
height = 100 ÷ 5
height = 20
So, the height of the rectangle is 20 units, which corresponds to answer choice A).