Answer:
Perimeter = 70 inches
Step-by-step explanation:
Length = 3k
Width = 2k
Area - lw
294 = (3k) * 2k
294 = 6k^2
Divide by 6
294/6 = 6k^2 / 6
49= k^2
Take the square root on each side
sqrt(49) = sqrt(k^2)
We only need the positive square root since length must be positive
7 =k
Length =3k =3(7) = 21 inches
Width = 2k =2(7) = 14 inches
We need the perimeter
P = 2(l+w)
P = 2(21+14)
= 2(35)
= 70 inches
