9514 1404 393
Answer:
12√2
24√2
Step-by-step explanation:
The Pythagorean theorem tells you the square of the slant length is the sum of the squares of x and the height:
(6√11)^2 = x^2 + (6√3)^2
x^2 = 36·11 -36·3 = 36·8 = 144·2
x = 12√2 . . . . length of 1/2 the house
The full length of the house is double this value:
2x = 24√2 . . . . full length of the house