Hi there!
We'll be finding the area of the entire middle rectangle (the big one), since that is the lateral area. It has a height of 15 and a length of 18.
15 x 18 = 270
The correct answer is the first option, 270m^2.
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
Answer: WZ
The sequence ABCD has AD as the first and last letters of that sequence, so this pattern applies to WXYZ as well to pull out WZ. Angle A pairs up with angle W because they are both the first letters of the sequences. These angles are congruent from the fact that the parallelograms are similar. The same can be said for angle D and angle Z.
note: WZ is the same as ZW. The order doesn't matter when it comes to labeling segments based on endpoints.
You can calculate polygon area with only apothem OR side length.
apothem only
area = apothem^2 * 6 * tan (180/6)
area = 10.4^2 * 6 * 0.57735
area = 108.16 *
<span>
<span>
<span>
3.4641
</span>
</span>
</span>
area =
<span>
<span>
<span>
374.677056
</span>
</span>
</span>
square yards
side length only
area = 6 * 12^2 * / 4*tan(30)
area = 864 / 4 * 0.57735
area = 864 /
<span>
<span>
<span>
2.3094
</span>
</span>
</span>
area =
<span>
<span>
<span>
374.1231488698
</span>
</span>
</span>
square yards
If apothem and side length were given with more precision, the answers would be closer.
Source:
http://www.1728.org/polygon.htm
<h3>Answer:</h3>
y = 28
<h3>Explanation:</h3>
The base angles of the isosceles triangle are congruent, so the sum of angles is ...
34° + 34° + 4y° = 180°
... 4y = 180 -68 . . . . . divide by °, subtract 68
... y = 112/4 = 28 . . . . divide by the coefficient of y
The value for y is 28.
_____
You have not asked about x in either figure.
<em>First figure</em>
Since the angles are congruent, the sides are congruent. Then ...
... 6x -3 = 5x
... x = 3 . . . . . . add 3-5x
<em>Second figure</em>
The base angles of the isosceles triangle are congruent, so
... 34° = (x -5)°
... 34+5 = x = 39 . . . . . . . divide by °, add 5.
