Problema Solution
Connor wants to put a moat around his rectangular caste. let m=the width of the moat.
1.)Given the diagram to the right, write a polynomial that represents the total area of the castle and moat.
2.) find the combined area if the moat is 10 feet wide.
3.) If the moat is also 10 feet deep, calculate how many gallons of water are in the moat if 1 gallon = 0.134 ft^3.
(the info in the pic is a rectangle with sides of 60 ft, and 45 ft)
Answer provided by our tutors
1) total area of casle = 60*45 =2700
area of moat =4 m^2 +210m+2700 - 2700 =4 m^2 +210m
2)combined area = (60+20)*(45+20) = 80*65 = 5200
3)volume of water = 5200*10 = 52000cu.feet = 52000/0.134 = 388,059.7015 gallons (approx.)