The formula for the area of a parallelogram is bh.

15(h) = 300

h = 20

The height of the parallelogram is 20 yards.

14 m

Step-by-step explanation:

The area of a parallelogram is given by

A=bh

Where A is the area of the parallelogram, b is the base and h is the height.

Makjng h the subject of the formula then

Substituting 224 square meters for A and 16 meters for b then the height will be equivalent to

Therefore, the height is 14 meters

5 m

Step-by-step explanation:

You know the area of a parallelogram is the product of its base length and height:

area = base × height

Fill in the given values, and solve for height:

60 m² = (12 m) × height

(60 m²)/(12 m) = height = (60/12) m

height = 5 m

The height is 5 meters.

17 cm

Step-by-step explanation:

The formula for the area of a parallelogram is ...

A = bh

The base (b) is given as (5 cm +15 cm) = 20 cm. The area is given as 340 cm^2. Filling in the give numbers, we have ...

340 cm^2 = (20 cm)h

Dividing by the coefficient of h gives ...

(340 cm^2)/(20 cm) = h = 17 cm

The height of the parallelogram is 17 cm.

Comment on the geometry

The triangles at either end of the figure will be 5-12-13 right triangles, meaning the height of the figure is 12 cm. Using that height, we find the area to be (12 cm)(20 cm) = 240 cm^2 (not 340 cm^2). This leads us to believe there is a typo in the problem statement.

As the problem is given, the geometry is impossible. The height of the parallelogram cannot be greater than the length of the slanted side.

As the problem is written, it is a "one-step" problem. (Divide the area by the base length.) If the area were not given, then the Pythagorean theorem would be required to find the height. That is a 2-step problem:

13^2 = 5^2 + h^2

h^2 = 169 -25 = 144 . . . . solve for h²

h = √144 = 12 . . . . . . . . . take the square root

It is not at all clear what 3 steps you're supposed to show in your work.

The height of the parallelogram is 7 inches

Step-by-step explanation:

Let's recall that the formula of the area of a parallelogram is:

Area = base * height

Replacing with the real values, we have:

105 = 15 * height

height = 105/15

height = 7 inches

The height of the parallelogram is 7 inches

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