SOLUTION: A field is 4 times as long as it is wide. From corner to corner the field is 150 meters. What is the perimeter

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Question 1154363: A field is 4 times as long as it is wide. From corner to corner the field is 150 meters. What is the perimeter
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x, the width
4x, the length

x%5E2%2B%284x%29%5E2=150%5E2
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.
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After finding x, evaluate 10x.

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

Let W be the width (in meters).

Then the length is 4W.


The Pythagorean equation for the diagonal is


    W^2 + (4W)^2 = 150^2,   or

    W^2 + 16W^2 = 22500,

    17W^2       = 22500

    W^2         = 22500/17 = 1323.529

    W = sqrt%281323.529%29 = 36.38 meters.


So, the width is 36.38 meters;  Hence, the length is 4*36.38 = 145.52 meters.


By knowing dimensions, you can easily find the perimeter.

Happy calculations (!)