Answer:
Step-by-step explanation:
The formula for the area of a parallelogram is :
<em>l = length</em>
<em>w = width</em>
<em>h = height</em>
You did not specify which integer was which, but it does not matter as the order in which you multiply them together does not matter.
10.7 * 5.5 * 14 = 823.9
Since you are finding the area, you have to square the units; 823.9 ft^2
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Based on the calculations, the length of side CM is equal to 4 units.
<h3>How to calculate the length of side CM?</h3>First of all, we would determine the measure of angle B by applying the law of cosine as follows:
B² = A² + C² - 2(A)(C)cosB
<u>Given the following data:</u>
A = BC = 5
B = AC = 4√2
C = AB = 7
Substituting the given parameters into the formula, we have;
(4√(2))² = 5² + 7² - 2 × 5 × 7 × cosB
cos(B) = ((4√(2))² - (5² + 7²))/(-2×5×7)
cos(B) = 0.6
B = cos⁻¹(0.6)
B = 53.13°.
Now, we can find side CM by using sine trigonometry:
sin(B) = CM/BC
CM = BC × sin(B)
CM = 5 × sin(53.13°)
CM = 5 × 0.8
CM = 4 units.
Read more on cosine law here: brainly.com/question/11000638
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