<h3>
Answer: 20.3</h3>
Work Shown:
tan(angle) = opposite/adjacent
tan(B) = AC/AB
tan(67) = x/8.6
8.6*tan(67) = x
x = 8.6*tan(67)
x = 20.2603303460843 ... make sure your calculator is in degree mode
x = 20.3 .... rounding to 3 significant figures
see diagram below
The width of the rectangle is 6.82 meters, while the length of the rectangle is 8.184 meters.
<h3>What is a rectangle?</h3>
A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but the reverse statement may or may not be true.
Let the width of the rectangle be x.
Given that a rectangular room is 1.2 times as long as it is wide. Therefore, the length is 1.2x.
Perimeter = 2(x + 1.2x)
30 meters = 2(2.2x)
30 = 4.4x
x = 6.82
Hence, the width of the rectangle is 6.82 meters, while the length of the rectangle is 8.184 meters.
Learn more about Rectangle:
brainly.com/question/15019502
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Answer:
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Step-by-step explanation: