## Elementary Algebra

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.