Asked by jegonzalez
SAT
Answered Out

Jessica has 900 feet of fencing and a very large field. She can enclose a rectangular area with dimensions x feet and (450 − x) feet. What is the largest rectangular area she can create

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5 months ago Give Answer
Answers

P = 2x+2(450-x)=900
A = x(450 - x)
A = x(450 - x)
-x² + 450x = A
-x² +450x = A
A is going to be maximum, when x is a vertex.
-(x² - 450x) = A
-(x² - 2*225x+225²) - 225² =A
-(x-225)² -225² = A
Vertex when x=225

Largest are 225(450-225) = 225² = 50625 ft²

The square has a largest area.

Answerd by ajcrawford
5 months ago 23 5.0