The length of x will be 4 cm if is the angle bisector of A.
<h3>What is an angle bisector?</h3>
A straight line that splits an angle in a triangle into two congruent angles is known as the angle bisector.
Given sides;
AB=12
AE=8
BD=6
DE=x
From the triangle angle bisector theorem;

Hence the length of x will be 4 cm.
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A = 2 * a^2 * (1 + sqrt 2)
Where 'a' is the side length.
A = 2 * 10^2 * (1 + sqrt 2)
A = 2 * 10^2 * 2.41421356
A = 2 * 100 * 2.41421356
A = 200 * 2.41421356
A = 482.842712
Therefore, the closest one is C.
Answer:
Step-by-step explanation:
Triangles
Area of a triangle = 1/2 b * slanted height
b = 6 m
h = 9 m
Area of 1 triangle = 1/2 * 6 * 9
Area of 1 triangle = 27
Area of all 4 triangles = 4*27 = 108 m^2
==================
Base area
The base is a square. All 4 sides are equal.
The formula for a square is s^2
Area = (6 m)^2
Area = 36 m^2
Total area
Total Area = 108 m^2 + 36 m ^2
Total Area = 144 m^2
In order to round a number to the nearest thousandths, we have to check the number in the ten thousandths place:
1- If the number in the ten thousandths is less than 5, then the thousandths number will remain the same and all numbers after it will be converted to zeroes.
2- If the number in the ten thousandths is equal to or greater than 5, then the thousandths number will be incremented by 1 and all numbers after it will be converted to zeroes.
Applying this to the given number:
<span>1.80431
</span>The number in the ten thousandths position is 3 which is less than 5.
Therefore, rounding <span>1.80431 to the nearest thousandths will be:
</span>1.80400 which is equivalent to 1.804