Question

The parallelogram shown below has an area of 24 units2.

6
h
5
Find the missing height.
h =
units
Stuck? Watch a video or use a hint.

Answer 1

The missing height of the parallelogram is approximately 4.9 units.

To find the missing height of the parallelogram, we can use the formula for the area of a parallelogram, which is base times height. In this case, the base is AG and the area is given as 24 units^2.

So, we have the equation AG * h = 24.

Since AG is perpendicular to CD, it is also equal to the height of the parallelogram.

Therefore, h * h = 24, or h^2 = 24.

Taking the square root of both sides, we find that h = √24 or h ≈ 4.9 units.

The probable question may be:

The parallelogram ABCD shown below has an area of 24 units2.

AB=6

BC=5

AG is perpendicular to side CD where AG=h

Find the missing height.

h =_____units

Answer 2

9

Explanation:

The area of the parallelogram is equal to the base times height. The formula to use is A = b*h. The height and base are always perpendicular to one another.

The base is some unknown variable b. Multiply the base by the height 15 to get 15*b which is equal to the area 135

Therefore, 15*b = 135

Divide both sides by 15 and we isolate b

15b = 135

15b/15 = 135/15

b = 9

So the base is 9

Check:

area = base*height = 9*15 = 135

so the answer is confirmed

side note: we never use the value 17 at all. It is likely put in there as a distraction.