square root of 18 times the square root of 24
and then once you find that area, what if the L and W were cut in half, what would the new area be
sqrt (18) = sqrt (9 * 2) = sqrt 9 * sqrt 2 = 3 sqrt(2)
sqrt (24) = sqrt (4 * 6) = sqrt 4 * sqrt 6 = 2sqrt(6)
Total area = [ 3 sqrt (2) ] * [ 2 sqrt (6) ] = [ 6 *sqrt (2) * sqrt (6) ] = 6 sqrt (12) =
6 sqrt ( 4 * 3) = 6 * sqrt (4) * sqrt (3) = 6 * 2 * sqrt (3) = 12 sqrt (3) units^2
If we cut the length and width in half......the new area would be
(1/2) * 3 * sqrt(2) * (1/2) * 2 * sqrt (6) =
(3/2) * sqrt (2) * sqrt (6) =
(3/2) sqrt (12) =
1.5 sqrt (4) * sqrt (3) =
1.5 * 2 * sqrt (3) =
3 sqrt (3) units^2