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the area of rectangular plot of land fenced all round is 2000 sq. yards and the total length of fencing 180 yards. find the length and width of plot

Sagot :

sqdancefan

9514 1404 393

Answer:

  • length: 50 yd
  • width: 40 yd

Step-by-step explanation:

The perimeter is twice the sum of length and width. Then the sum of length and width is 90 yards. Their product is the area, so we have ...

  x(90 -x) = 2000 . . . . where x is length or width

  x^2 -90x +2000 = 0 . . . . rearrange to standard form

  (x -40)(x -50) = 0 . . . . . . . factor

  x = 40  or  x = 50

The dimensions of the rectangular plot are 40 yards by 50 yards.

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