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August 30, 2014

August 30, 2014

Posted by **Anonymous** on Wednesday, September 8, 2010 at 10:46pm.

- calculus -
**Anonymous**, Thursday, September 9, 2010 at 1:10amfrom the data

rectangle:

width = x

length = 4x

triangle:

base = x-2

height = 4x

area of rectangle = x(4x) = 4x^2

area of triangle = (1/2)(x-2)(4x) = 2x^2 - 4x

given:

4x^2 - (2x^2 - 4x) = 30

2x^2 + 4x - 30 = 0

x^2 + 2x - 15=0

(x+5)(x-3) = 0

x = -5 (not possible) or x = 3

area of rect. = 4x^2 = 36

area of triangle = 2x^2 - 4x = 18-16 = 2

- Oops - calculus -
**Reiny**, Thursday, September 9, 2010 at 1:13amI messed up in the last line

should have said:

area of triangle = 2x^2 - 4x = 18-12 = 6

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