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.

Mathematics

2 answers:

defon2 years ago

5 0

Answer:

The height of the parallelogram is 33 ft

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

$height = \frac{544.5}{16.5} = 33 ft$

Hope this helps :)

alina1380 [7]2 years ago

5 0

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

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lesya [120]

Answer:

$\huge\boxed{x \approx 55}$

Step-by-step explanation:

We need to note that this is an equation, in which we can solve for x.

$tan(39) = \frac{x}{68}$

We can use a calculator to find the tangent of 39 - we type 39 into the calculator then press the "TAN" button to find it's tangent. We find that to be around 0.81.

We now have the formula simplified down to $0.81 = \frac{x}{68}$ . To solve for x, we want to isolate it on one side, so we can multiply both sides by 68 to get rid of the fraction.