mirzakasumovic8298 mirzakasumovic8298
  • 11-10-2018
  • Mathematics
contestada

A rectangular field is 65 meters wide and 115 meters long. Give the length and width of another rectangular field that has the same perimeter but a smaller area.

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tramserran
tramserran tramserran
  • 11-10-2018

Answer: width = 30 m, length = 150 is one possible answer

Step-by-step explanation:

P = 2L + 2w                            A = L x w

  = 2(65) + 2(115)                       = 65 x 115

  = 130 + 230                            = 7,475

  = 360

360 ÷ 2 = 180

Find 2 numbers whose sum equals 180 and product is less than 7475

Sum: L + w = 180   ⇒   w = 180 - L

Product: Lw < 7475

Graph these 2 equations to see which coordinates of the sum fall into the shaded region of the product.


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