SOLUTION: the perimeter of a rectangular pool is 380 yards. if the length is 20 yards less than twice the width.find the length and the width

Algebra ->  Rectangles -> SOLUTION: the perimeter of a rectangular pool is 380 yards. if the length is 20 yards less than twice the width.find the length and the width      Log On


   

Question 1048679: the perimeter of a rectangular pool is 380 yards. if the length is 20 yards less than twice the width.find the length and the width
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +w+ = the width in yards
+2w+-+20+ = the length in yards
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Using the formula for perimeter:
+2w+%2B+2%2A%28+2w+-+20+%29+=+380+
+2w+%2B+4w+-+40+=+380+
+6w+=+420+
+w+=+70+
and
+2w+-+20+=+2%2A70+-+20+
+2w+-+20+=+120+
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The width is 70
The length is 120
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check:
+P+=+2%2A70+%2B+2%2A120+
+P+=+140+%2B+240+
+P+=+380+
OK