A landscape designer has to construct a rectangular flower bed with a perimeter of 100 feet and the maximum possible area. What
1 answer:
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Answer:
625 square feet
Step-by-step explanation:
The greatest area of a polygon with a given perimeter is that of a regular polygon. A regular rectangle is one that has all sides the same length -- a square. The side length of a square with 100 ft perimeter is 25 ft. The area of a square with such a side length is
A = (25 ft)² = 625 ft²
The maximum possible area is 625 ft².
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In the attached, x is the length of one side. The area versus side length is plotted. The maximum is seen to be 625 ft² for a side length of 25 ft.
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Answer: OPTION B.
Step-by-step explanation:
The missing figure is attached.
For this exercise you need to use the Pythagorean Theorem. This is:
Where "a" is the hypotenuse and "b" and "c" are the legs of the triangle.
In this case you can identify in the figure the triangle PRS, so the diagonal PR is the hypotenuse of the triangle PRS.
Then you can say that:
Therefore, knowing these values, you can substitute them into :
Finally you must solve for PR in order to find its value. This is:
