Patriparie3tjess Patriparie3tjess
  • 17-03-2017
  • Mathematics
contestada

A table has an area of 12 ft squared and a perimeter of 16 ft. What are the dimensions of the table?
A) 2 ft by 6 ft
B) 2 ft by 8 ft
C) 4 ft by 3 ft
D) 4 ft by 4 ft

Respuesta :

irspow
irspow irspow
  • 20-03-2017
p=2x+2y, y=(p-2x)/2

a=xy, using y found above in this equation gives you:

a=(px-2x^2)/2  we are told a=12 and p=16 so

12=(16x-2x^2)/2

24=16x-2x^2

2x^2-16x+24=0

2x^2-12x-4x+24=0

2x(x-6)-4(x-6)=0

(2x-4)(x-6)=0

2(x-2)(x-6)=0

So the table is 2 ft by 6 ft.
Answer Link
lolojasbjbd lolojasbjbd
  • 01-05-2020

Answer:

A, 2 ft by 6 ft

Step-by-step explanation:

Answer Link

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