A table has an area of 12 ft^2 and a perimeter of 16 ft. What are the dimensions of the table?

Step-by-step explanation:

hello,

we can assume that the table is a rectangle

so let's note x , y its length and width, we can write

(1 ) 2(x+y)=16

(2) xy=12

x and y are different from 0 and from (2) we can write

y =12/x we replace it in (1)

x+12/x=16/2=8

for x = 6 y = 2

for x = 2 y = 6

so the dimensions of the table is 2ft x 6ft

hope this helps