Hi L;

QUESTIONS 1 and 2...

TOTAL AREA OF CASTLE AND MOAT...

(m+60 ft)(m+45 ft)

m=10

(10 ft+60 ft)(10 ft+45 ft)

(70 ft)(55 ft)

3850 ft^{2}

QUESTION 3...

[(m+60 ft)(m+45 ft)=area of castle and moat]

-[(60 ft)(45 ft)=area of castle]

area of moat

We must subtract the second equation from the first.

I am assuming that m=10 ft.

[(10 ft+60 ft)(10 ft+45 ft)=area of castle and moat]

-[(60 ft)(45 ft)=area of castle]

area of moat

[(70 ft)(55 ft)=area of castle and moat]

-[(60 ft)(45 ft)=area of castle]

area of moat

[(3850 ft^{2}=area of castle and moat]

-[(2700 ft^{2})=area of castle]

1150 ft^{2}=area of moat

(10 ft)(1150 ft^{2})=cubic feet of moat

11500 ft^{3}=cubic feet of moat

1 gallon = 0.134 ft^{3}

(1 gallon)/(0.134 ft^{3})=1

(11500 ft^{3})[(1 gallon)/(0.134 ft^{3})]

Let's cancel units. Cubic feet, ft^{3}, is in both the numerator and denominator...

(11500 ft^{3})[(1 gallon)/(0.134 ft^{3})]

(11500)[(1 gallon)/(0.134)]

The only unit remaining is gallon, which is what we want...

Now that our units are aligned, let's calculate...

85821 gallons