gina has 480 yards of fencing to enclose a rectangular area. Find the dimensions of the rectangle that maximize the enclosed are
a. What is the maximum area?
2 answers:
Answer:
14400 [yards²].
Step-by-step explanation:
all the details are in the attached picture; answer is marked with orange colour.
note, the suggested way of solution is not the shortest one, modify the design according Your local requirements.
P.S. ∡ means 'if', ⇒ means 'then'.
Answer:
Step-by-step explanation:
<u>Fencing is the perimeter of rectangle:</u>
<u>The sum of dimensions is:</u>
<u>The area is the product of two dimensions:</u>
- A = lw
- A = l(240 - l) = 240l - l²
This a quadratic relationship and the maximum value is obtained at vertex.
<u>The vertex is the point: </u>
- l = -b/2a = -240/ -2 = 120
It means both l and w have same length of 120 yd
<u>The area is:</u>
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