SOLUTION: What is the perimeter and area of the rectangle the top side is 3+6 times the square root of 2 yards and the right side is the square root of 8 yards.

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Question 283315: What is the perimeter and area of the rectangle the top side is 3+6 times the square root of 2 yards and the right side is the square root of 8 yards.
Answer by jsmallt9(2063) About Me  (Show Source):
You can put this solution on YOUR website!
Let x+=+3%2B6sqrt%282%29
and y+=+sqrt%288%29

With these variables,
perimeter = 2x + 2y
and
area = x*y

Before we start using these formulas, let's simplify y. sqrt%288%29 has a perfect square factor of 4 so it can be simplified. (sqrt%282%29 cannot be simplified further.)
y+=+sqrt%288%29+=+sqrt%284%2A2%29+=+sqrt%284%29%2Asqrt%282%29+=+2sqrt%282%29

Now let's use the formulas.
Perimeter = 2x + 2y = 2%283%2B6sqrt%282%29%29+%2B+2%282sqrt%282%29%29+=+6+%2B+12sqrt%282%29+%2B+4sqrt%282%29+=+6+%2B+16sqrt%282%29
Area = x*y = %283%2B6sqrt%282%29%29%282sqrt%282%29%29+=+6sqrt%282%29+%2B+12%2Asqrt%282%29%2Asqrt%282%29+=+6sqrt%282%29+%2B+12+%2A+2+=+6sqrt%282%29+%2B+24