SOLUTION: Please help me with this geometry word problem with square roots. Find the area of the rectangle with this measurements: Top side of the rectangle is: sqrt3 + sqrt5 right side

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Question 79449: Please help me with this geometry word problem with square roots.
Find the area of the rectangle with this measurements:
Top side of the rectangle is: sqrt3 + sqrt5
right side of the rectangle is: sqrt3 + sqrt5
Again, the problem is to find the area of the rectangle.
Thank you so much for your help.
sean32485

Answer by erimir(14) About Me  (Show Source):
You can put this solution on YOUR website!
To solve this we first need to invoke the formula for the area of a rectangle.
area = length * width
or
area = a*b
We know that one side is sqrt%283%29%2Bsqrt%285%29, and the same goes for the other side. Hence we get:
a+=+sqrt%283%29%2Bsqrt%285%29
and
b+=+sqrt%283%29%2Bsqrt%285%29
Now all we need to do is to multiply a together with b, including the WHOLE expression and setting it in parentheses.
As we may see here:
area+=+a%2Ab+=+%28sqrt%283%29%2Bsqrt%285%29%29%2A%28sqrt%283%29%2Bsqrt%285%29%29
Continuing, we need to multiply each element in the first parenthesis with all the elements in the second. We then get:
area+=+%28sqrt%283%29%2Bsqrt%285%29%29%2A%28sqrt%283%29%2Bsqrt%285%29%29+=+sqrt%283%29sqrt%283%29%2Bsqrt%283%29sqrt%285%29%2Bsqrt%285%29sqrt%283%29%2Bsqrt%285%29sqrt%285%29+=+3+%2B+sqrt%283%29sqrt%285%29+%2B+sqrt%283%29sqrt%285%29+%2B+5+=+3+%2B+5+%2B+2sqrt%283%29sqrt%285%29+=+8+%2B+2sqrt%283%29sqrt%285%29
I hope this clarified things for you.
Best regards,
Eric