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Answer: length = 24 ft
Width = 8 ft
Step-by-step explanation:
Let L represent the length of the barn.
Let W represent the width of the barn.
The area of a rectangular wall of a barn is 192 sq. Ft. This means that
LW = 192- - - - - - - - - - - - - - -1
It's length is 8 ft longer than twice it's width. This means that
L = 2W + 8
Substituting L = 2W + 8 into equation 1, it becomes
W(2W + 8) = 192
2W² + 8W = 192
2W² + 8W - 192 = 0
Dividing through by 2, it becomes
W² + 4W - 96 = 0
W² + 12W - 8W - 96 = 0
W(W + 12) - 8(W + 12) = 0
(W - 8)(W + 12) = 0
W = 8 or W = - 12
Since the width cannot be negative, then W = 8
L = 192/W = 192/8
L = 24
7(x + 2) = 6(x + 5)
7x + 14 = 6x + 30 |subtract 14 from both sides
7x = 6x + 16 |subtract 6x from both sides
x = 16
Answer:
850- 475= 375 increase over 2 months.
375 ÷2= $187.50
