A farmer wishes to build a rectangular sheep pen with a 160m fence,using one side of an existing shed as the side.The shed is also rectangular of measurement 20m X 20m.
(a)Find the measurement and the area of the sheep pen if one side of the existing shed is used as the width of the sheep pen.
(b)By using the fence of the same length and using the width of the shed as part of the width of the sheep pen,find the length and width of the sheep pen with maximum area.
(c)If two sheep pens of the same size are build adjacent to each other,find
(i)the length of the new sheep pen if one side of the shed is used as the width of the sheep pen.
(ii)the length and width of the sheep pen,which is adjusted so that the enclosed area is maximum.
(d)Find the maximum enclosed area if the same fence is used to construct three rectangular sheep pens.
2006-10-15 05:33:59 · 3 answers · asked by evolutionf330q 2 in Science & Mathematics ➔ Mathematics
I will lead you to the answer, ... not serve it to you on a silver platter... ok?
a)P=160>>> P= (20+?)x2=160 (answer for questionmark=
measurement of the shed length>>. this is also the one side measurement of the fence)
A= 20x?=?
b) A for sheep pen=?
A= length of one side of she
A= ? (
OH MY GOD WE JUST HAD AN EARTHQUAKE>>>>can't do this anymore... sorry!!!! It was so scary.... and it was quite lengthy this time.
2006-10-15 06:11:25 · answer #1 · answered by justmemimi 6 · 0⤊ 0⤋
you al ready have one side of the pen=20m
the opposit side will be the same.
160-20=140 divided by 2 =70.
pen size 70m x 20m
the rest is easy just subtract 20m from the lenght
10m from the long sides
2006-10-15 12:44:48 · answer #2 · answered by gussie r 3 · 0⤊ 0⤋
Isn't it your teacher's job to teach you?
2006-10-15 12:36:11 · answer #3 · answered by Anonymous · 0⤊ 1⤋