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categoryرياضيات
schoolبكالوريوس
event_available2026-07-13
السؤال
Transcribed Image Text:
A rectangular flower garden with an area of 646 m² is surrounded by a grass border 1 m wide on two sides and
a 2 m wide on the other two sides as shown in the figure. What dimensions of the garden minimize the combined
area of the garden and borders?
2 m
Flower garden
Let h be the vertical height of the garden and let A be the total area of the garden and borders. Write the objective function.
A= 4h+
1292
h
+654
(Type an expression.)
The interval of interest of the objective function is
ما
1 m
(Simplify your answer. Type your answer in interval notation.)
The vertical height of the garden that will minimize the total area is
(Type an exact answer, using radicals as needed.)
m.
The horizontal width of the garden that will minimize the total area is
m.
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