Prime fractorization of 140/700
1 answer:
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Answer:
Option A) 4, 2
Step-by-step explanation:
We are given that quadrilateral ABCD is a parallelogram with sides:
Since the opposite sides of a parallelogram are equal, we can write:
Equating the sides we get,
Putting the values of x and y, we get:
Thus, the lengths of the opposite side pairs is 4,2.
Let 
and 
be the sides of the rectangle. The perimeter is given to be 500m, so we are maximizing the area function 
subject to the constraint 
.
From the constraint, we find
so we can write the area function independently of:
Differentiating and setting equal to zero, we find one critical point:
which means
, so in fact the largest area is achieved with a square fence that surrounds an area of 
.
From the constraint, we find
so we can write the area function independently of
Differentiating and setting equal to zero, we find one critical point:
which means