A veterinarian has 100 ft. of fencing to construct 6 dog kennels by first building a fence around a rectangular region, and then subdividing that region into six smaller rectangles by placing five fences parallel to one of the sides. Express the total area, A, of the kennels as a function of x, where x is the length of one of the seven parallel fences.
2007-08-24 06:18:48 · 6 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Length = x
width = y
Total perimeter:
2x + 2y + 5x = 100
7x + 2y = 100
solve for y.
2y = 100 - 7x
y = (100 - 7x) / 2
Area of the enclosure:
A = Length * Width
A = (x)(y)
A = x(100 - 7x) / 2
2007-08-24 06:23:18 · answer #1 · answered by Mathematica 7 · 0⤊ 2⤋
Let x = width of rectangle and also the length of the 5 parallel fences. Then (100 - 7x)/2 = length of rectangle.
So Area = x(100-7x)/2
2007-08-24 06:37:22 · answer #2 · answered by ironduke8159 7 · 0⤊ 0⤋
19x sqr
first you make one square 4 sides
the other kenels need 3 sides
3x5 = 15 + 4 for the first = 19 sides
100/19=5.263
x=5.263 feet
2007-08-24 06:28:49 · answer #3 · answered by razorraul 6 · 0⤊ 1⤋
x=8
y=22
Area=8*22=176
2007-08-24 06:29:20 · answer #4 · answered by SUSAN G 2 · 0⤊ 1⤋
Is that you Michael Vick?
2007-08-24 06:21:47 · answer #5 · answered by Anonymous · 1⤊ 1⤋
hmmmmmmm...sounds like homework, you try it.
2007-08-24 06:22:29 · answer #6 · answered by muddypuppyuk 5 · 0⤊ 2⤋