SOLUTION: For Problems 8 through 10, assume that you have a rectangular vegetable garden with a length of 4sqrt(2) feet and a width of 3sqrt(2) feet. (Please use correct units in your answe

Algebra ->  Test -> SOLUTION: For Problems 8 through 10, assume that you have a rectangular vegetable garden with a length of 4sqrt(2) feet and a width of 3sqrt(2) feet. (Please use correct units in your answe      Log On


   

Question 964703: For Problems 8 through 10, assume that you have a rectangular vegetable garden with
a length of 4sqrt(2) feet and a width of 3sqrt(2) feet. (Please use correct units in your answers.)
8. What is the perimeter of the garden rounded to the nearest foot?
9. What is the exact area of the garden?
10. What is the exact measurement of either diagonal of the garden?
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
We are given length(l) = 4*sqrt(2) and width(w) = 3*sqrt(2)
8) Perimeter(P) = 2l +2w
P = 2*(4*sqrt(2)) +2*(3*sqrt(2))
P = 8*sqrt(2) + 6*sqrt(2)
P = 14*sqrt(2) feet
9) Area(A) = (4*sqrt(2)) * (3*sqrt(2))
A = 12*sqrt(2)^2
A = 12 * 2 = 24 square feet
10) diagonal(d)^2 = (4*sqrt(2))^2 + (3*sqrt(2))^2
d^2 = 32 + 18 = 50
d = sqrt(50) = 5*sqrt(2) feet