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A rectangle has area 169 sq cm A straight line is to be drawn from one corner of the rectangle to the midpoint of one of the two more distant sides What is the minimum possible length of such a lin?
Juliannesmith
14.53 cm
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the figure must be a square in order to have that line to a minimum value.
then, if the area is 169, every side is 13 cm
then, we use pytagoras:
c2 = a2 + b2
a = 13 ; b = 13/2
solving for c
c=14.53
Edit- I really do not have the time right now to work this problem out. However, I will say that the answer above is far from correct. First, the question does not ask from corner to corner, which would require the response above, rather it asks for the line to be drawn from one corner to the midpoint of one of the two more distant sides. Because it is the midpoint, you would have to create the area equation solve for a variable. Then create the Pythagorean theorem equation and find the derivative. Then plug in the value of the variable solved for in the area equation. Now you have to take this and find the critical points. After that plug them in to figure out which is the minimum value and you have your answer!
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