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dimulka [17.4K]
3 years ago
10

If a square garden has a perimeter of 20 yards, what is its area?

Mathematics
1 answer:
olga_2 [115]3 years ago
3 0

Answer:

25p

Step-by-step explanation:

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The LCM of 2 numbers is 60 and 1 of the numbers is 7 less than the other number. What are the numbers?
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Let's represent the two numbers by x and y.  Then xy=60.  The smaller number here is x=y-7.

Then (y-7)y=60, or y^2 - 7y - 60 = 0.  Use the quadratic formula to (1) determine whether y has real values and (2) to determine those values if they are real:

discriminant = b^2 - 4ac; here the discriminant is (-7)^2 - 4(1)(-60) = 191.  Because the discriminant is positive, this equation has two real, unequal roots, which are
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y = -------------------------
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and 

        -(-7) - sqrt(191)
y = ------------------------- = 3.41 (approximately)
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Unfortunately, this doesn't make sense, since the LCM of two numbers is generally an integer.


Try thinking this way:  If the LCM is 60, then xy = 60.  What would happen if x=5 and y=12?  Is xy = 60?  Yes.  Is 5 seven less than 12?  Yes.






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Step-by-step explanation:

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