Answer:
Step-by-step explanation:
Answer:
The answer to your question is 92.4 cm²
Step-by-step explanation:
Data
Side of a square = 6 units
Longest side of a rhombus = 10 units
Process
1.- Calculate the area of the square
Area = 6 x 6 = 36 u²
2.- Calculate the area of the rhombus
-Calculate the length of the short diagonal
6² = x² + x²
6² = 2x²
36 = 2x²
18 = x²
x = √18
-Short diagonal
x = 2√18
-Calculate the length of the long diagonal
10² = (√18)² + b²
b² = 100 - 18
b² = 82
b = √82
-Length of the long diagonal
d = √82 + √18
-Area of the rhombus
Area = (√82 + √18)(2√18) / 2
Area = (√82 + √18)(√18)
3.- Calculate the total area
Total area = (√82 + √18)(√18) + 36
-Simplification
Total area = (13.298)(4.243) + 36
Total area = 56.418 + 36
Total area = 92.4 cm²
remember the pythagorean theorem:
a² + b² = c²
where c is the hypotenuse.
so:
the square and the square root cancel each other out, so...
a² + b² = 26
we know that a and b are of equal length given the angles.
so it's
here the squares and square roots also cancel, but to keep the equation from the formula true we need to write them. that makes the difference between optional and B
Option A is correct,
Answer:
169π or 530.93
Step-by-step explanation:
The formula for the area of a circle is πr²
Here, the radius is given to be 13.
So, let's just plug it into the formula as r
π x 13²
π x 169
169π
The radius is 169π. If you want to multiply out the π you would get 530.93, which is equivalent of course.
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