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The deck on a home is shaped like a parallelogram. The parallelogram has an area of 544.5 ft2 and a base measurement of 16.5 ft.

What is the height of the parallelogram?

User Theusual
by
6.4k points

2 Answers

1 vote

Answer:

The height of the parallelogram = 33 ft

Step-by-step explanation:

Formula:-

Area of parallelogram = bh

b - Base length of parallelogram

h - Height of parallelogram

It is given that, The deck on a home is shaped like a parallelogram. The parallelogram has an area of 544.5 ft2 and a base measurement of 16.5 ft.

Fro this we get

Area = 544.5 ft²

Base b = 16.5 ft

To find the height of parallelogram

Area = bh

544.5 = 16.5 * h

h = 544.5/16.5 = 33 ft

Therefore the height of parallelogram = 33 ft

User Alta
by
5.9k points
3 votes

Answer:

The height of the parallelogram is 33 ft

Step-by-step explanation:

The area of the parallelogram can be calculated using the following rule:

Area of parallelogram = base * height

In the problem, we are given that:

Area = 544.5 ft²

Base = 16.5 ft

Substitute with the given values in the above equation and solve for the height as follows:

Area = base * height

544.5 = 16.5 * height


height = (544.5)/(16.5) = 33 ft

Hope this helps :)

User Rkellerm
by
6.0k points