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Ludmilka [50]
3 years ago
7

Two sides of a parallelogram are 93 feet and 80 feet. The measure of the angle between these sides is 18°. Find the area of the

parallelogram to the nearest square foot.
Mathematics
1 answer:
Virty [35]3 years ago
5 0

Answer:

2299 feets

Step-by-step explanation:

We Obtain the height:

Using trigonometry :

Sin18 = h / 93

0.3090169 = h / 93

h = 28.739

Area of parallelogram = base * height

Base = 80 feets ; height = 28.739 feets

= 2299.0864 feets

= 2299 feets

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expeople1 [14]
<span>The diagonals of a rectangle have equal lengths. Since AC has a length of 28, and AC is a diagonal, the other diagonal BD also has a length of 28. The diagonals of a rectangle also bisect each other. So diagonal BD is bisected by the other diagonal AC at point E. And since diagonal BD has a length of 28 then BE and ED both have a length which is of 28, or 14 each.

Answer: ED has a length of 14.</span>
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3 years ago
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2 years ago
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3 years ago
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