Question

if a pig pen has a length that is two more than 4 times the width and the perimeter is 158, what are the dimensions of the pig pen

Answer 1

what shape is the pen? rectangular?

Answer 2

square

Answer 3

no it cant be a square. it is a rectangle.
anyway. do you know the formula for the perimeter of a rectangle?

Answer 4

that all the info it gave

Answer 5

okay dont worry about that.
tell me if you know the formula for the perimeter of a rectangle

Answer 6

no

Answer 7

okay it is 2 * ( width + length)

Answer 8

so lets call the length L and the width W .

Answer 9

so what can you tell me about the relationship between L and W from your problem?

Answer 10

2*6=12+158=170

Answer 11

the problem states 2 more then 4 times the width and the perimeter is 158

Answer 12

right

Answer 13

so the length is 2 more than 4 times the width.
If the width is W, then what is L?

Answer 14

L=4W+2

Answer 15

P=2(W+L)
158=2(W+4W+2)
158=2W+8W+4
158-4=2W+8W
(154=10W) 1/10
15.4=W
so thats it, the with of the pigpen is 15.4
to find the length, just use the formula and substitute the width with 15.4

P=2(W+L)
158=2 (15.4+L)
158= 30.8 +2L
158-30.8=2L
(127.2=2L)1/2
63.6 = L
so the length is 63.6.
^_^