March Answer:

While shopping for a new tablecloth for her 90cm x 1.8 m rectangular table, Aleena was disappointed because she was not able to find a tablecloth she really liked. Luckily, Aleena did find several thin placemats that she liked. She decided to sew them together to create a tablecloth. Each placemat measured 30 cm x 45 cm. How many placemats should Aleena buy in order to cover her table completely and have at least 15 cm hanging off of each side of the table?

Solution:

Information known:

  • table = 90cm x 180cm (1.8m)
  • placemat = 30cm x 45cm

Area of Table: 18cmx90cm=16200

Area of Table Cover:

  • (180cm +[15cm+15cm])x(90cm+[15cm+15cm])
  • (180cm+30cm)x(90cm+30cm)
  • 210cmx120cm=X

Equation:

Area of table (w/extra)

  • A=LxW
  • A=120X120
  • A=25,200cm2

Area of Placemat

  • A=LxW
  • A=30x45
  • A=1,350cm2

A=25,200/1350
A=18 2/3 or 19

 

 

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