Answer
The answer is below.
Work Step by Step
We know:
$A_{square} = 14 A_{triangle}$
Thus:
$s^2 = (.5bh)(14)$
We know that h equals s. Thus:
$s^2 = .5(7)(s)(14) \\ s = 49$
We now find each area:
$A_{square} = 49^2 = 2401 \\ A_{triangle} = .5(7)(49)=171.5$
Checking this, we see that the area of the square is, indeed, 14 times greater.