The area of a rectangular wall of a barn is 48 square feet. Its length is 10 feet longer than twice its width. Find the length and width of the wall of the barn.

l = 16 feet

w = 3 feet

A = l×w

l = 10+2w

48 = (10 + 2w)w

48 = 10w + 2w² | : 2

24 = 5w + w²

w² + 5w - 24 = 0

w² + 8w - 3w - 24 = 0

w(w + 8) - 3(w + 8) = 0

(w - 3)(w + 8) = 0

w - 3 = 0 => w = 3 feet

w + 8 = 0 => w = - 8 ∉ N

l = 10 + 2w

l = 10 + 6

l = 16 feet

A = l×w = 16ft×3ft = 48ft²

C) 14

Step-by-step explanation:

We have been given that a bag of marbles contains 4 green marbles, 3 blue marbles, 2 red marbles, and 5 yellow marbles. We are asked to find the possible outcomes are there when choosing a marble from the bag. We will use probability formula to solve our given problem. Therefore, the number of possible outcomes when we choose a marble from the bag is 14 and option C is the correct choice.