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lillierudloff2558
06.12.2021 •
Mathematics
Last week bakery marvels baked 5 of the power of ten 5 muffins. How many muffins Do bakery marvels make?
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Ответ:
A = lw
P = 2l +2w
20 = 2l + 2w.
We express the length using (1).
2l = 20 - 2w
l = 10 - w.
We write the area using the width and length expression using width.
A = w(10 - w).
A = 10w - w2 .
The relationship of the area is quadratic. It has a max value that is where the vertex of the parabola is. The vertex is the average of the two zeros of the equation. We have
w1 = 0
and
w2 = 10.
1/2 (0 + 10) = 5 feet.
Martha will have largest area garden if (l = w = 5 feet).
A = 5x5 = 25 ft2
Note, if l = 4 and w =6,
A = 4x6 =24 ft2.