Posted by **Rachel** on Sunday, November 7, 2010 at 8:27pm.

A farmer uses 140 ft. of fencing to enclose a rectangular field. if the ratio of length to width is 3:4, find the diagonal of the field.

Any help is appreciated, thank you!

- Geometry -
**PsyDAG**, Monday, November 8, 2010 at 11:00am
W = 3/4L

2L + 2(3/4L) = 140

Solve for L and then W.

Use those values in the Pythagorean theorem.

L^2 + W^2 = D^2

- Geometry -
**Sam**, Thursday, February 3, 2011 at 9:29am
perimiter=21+2w+140ft

2(3x)+2(4x)+140

6x+8x+140

14x=140

x=10

3x=30 4x=40

the rectangle is 30' by 40'. this is a 3,4,5 right angleso the diagonal is 50'

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