SmartClutch5828 SmartClutch5828
  • 08-05-2018
  • Mathematics
contestada

If the perimeter of a rectangle is 52 cm and the area is 165 square cm, then what are the dimensions of the rectangle?

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sqdancefan
sqdancefan sqdancefan
  • 23-07-2019

Answer:

  11 cm by 15 cm

Step-by-step explanation:

The perimeter is double the sum of length and width, so that sum is 26 cm. The area is the product of length and width, so you want to find two numbers whose product is 165 and whose sum is 26.

  165 = 1·165 = 3·55 = 5·33 = 11·15

The numbers in the last factor pair total 26. These are the dimensions.

The dimensions are 11 cm by 15 cm.

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