Let s represent the length of one side of this rectangle, and w represent the width of the rectangle (length of one end). Then 2s + 2w = 12 units, and the area is a = s*w. Using the previous equation we can eliminate either s or w. Since we want s, eliminate w: 2w = 12 - 2s, or w = 6 - s.
Then the area of the rect. is a = s(6 - s) = 6s - s^2.
You have not shared the actual area of the rect., but have represented it by "a."
Suppose that the area is given and is 90. Then 90 square units = 6s - s^2, so that -s^2 + 6s - 90 = 0. Using the Pyth. Thm., we find s as follows:
-6 plus or minus sqrt( 6^2 - 4(-1)(-90)
s = ---------------------------------------------------
2(-1)
Unfortunately, s would come out as a pair of complex numbers, which is not possible in a situation where you're calculating lengths.
Please recheck this problem. Was the aera of the rectangle, a, given?
Both of the digits in the hundreds and tens place are 4, making it a relationship. The 4 in the hundreds place is worth 400, the 4 in the tens place is worth 40, and the 0 in the ones place is worth 0.
Hope this helped!
Nate
Answer:
=25x-7
Step-by-step explanation:
3,000,000,000,000+600,000,000+30,000,000+200,000+90,000+50+8
1490 millimeters
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