900 feet
Asked by maham237 @ in SAT viewed by 860 People
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
Answered by maham237 @
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.
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