Susan deposited $275 in a savings account that earns simple interest at a rate of 4.5%. She made no additional deposits and no w
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This question seems to me to be an exercise in applying the rule for a difference of squares in order to rewrite the difference of two relatively large numbers as the "simpler" product of other integers.
The shortest length of the fence used by the rancher in a rectangular field of 1000000 square feet is 4899 ft.
<h3>What is the area of a rectangle?</h3>The area of a rectangle is a region enclosed in four corners where two opposite sides are equal. The area of the rectangle is mathematically expressed as:
Area of a rectangle = length(x) × breath(y)
1000000 sq.ft = (x) × (y) ---- (1)
However, to determine the fencing, we have:
Length of fencing = 2x + 2y
- since the rectangle has four sides and opposite sides are equal
Suppose we use the x-direction to estimate the region where the fencing is located, we have:
Length of fencing = 2x + 2y + x
Length of fencing = 3x + 2y ---- (2)
From equation (1), make (y) the subject of the formula and replace the value of y with equation (2)
The Length of fencing is:
Now, if we replace the value with equation (1), then y will be:
Now, the shortest length of the fencing can be computed by using the equation (2):
L = 3x + 2y
Learn more about the area of a rectangle here: