We know that
The sum of the lengths of any two sides of a triangle is greater than the length of the third side (<span>Triangle Inequality Theorem)
so
inequality 1
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inequality 2
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the answer is
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4 times 700 would equal 2800. that is the answer to your question.
We can let the radius of the semi circles be r and x can be the length of the rectangle.
The perimeter will be Perimeter = 2x + 2pr = 1200
The area of the rectangle is Area = x(2r)
Once we solve the perimeter equation, you get x = 600.
Put this into the area equation and you get Area = (600 - pr)(2r)
The maximum then gives r = 95. 493 and area 57, 295.8
Dimensions
Height is twice the radius or 190.986. Find base use equation x = 600 - p(95.493) = 300.
This means dimensions are 300 by 190.986