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NNADVOKAT [17]
4 years ago
11

A corner lot had dimensions 20 x 40 metered before it lost two strips of equal width when the adjacent streets were widened. Fin

d the new dimensions of the lot if it's area is now 525 square meters.
Mathematics
1 answer:
LekaFEV [45]4 years ago
8 0

Answer:

  15 m by 35 m

Step-by-step explanation:

If x represents the width of the strip lost (in meters), then the new area is ...

  (20-x)(40-x) = 525

  800 -60x +x^2 = 525

  x^2 -60x +900 = 625 . . . . add 100 to complete the square

  (x -30)^2 = 25^2

  x = 30 ±25

The width must be less than 20, so the solution x=55 is extraneous. The lost width is 5 meters, so the new lot dimensions are 20-5 = 15 by 40-5 = 35.

The lot is now 15 m by 35 m.

_____

It is obvious that 25 is a factor of the new area, suggesting that 5 is the width of interest. "Guess and check" works well in this case.

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