Question

John made a rectangle pen for his dog using 28 feet of fencing. If the width of the two more than one-half the length what is the length and width of The pen the length I’ve pen is

Answer 1

The length of the pen is
`8\ ft`

The width of the pen is
`6\ ft`

Explanation:

Let

x-----> the length of the pen

y----> the width of the pen

we know that

The perimeter of the pen is

`P=2(x+y)`

`P=28\ ft`

so

`28=2(x+y)`

`14=(x+y)` ------> equation A

`y=2+(1)/(2)x` -----> equation B

Substitute equation B in equation A and solve for x

`14=x+(2+(1)/(2)x)`

`14-2=(3)/(2)x)`

`12=(3)/(2)x)`

`x=12*2/3=8\ ft`

Find the value of y

`y=2+(1)/(2)(8)=6\ ft`

therefore

The length of the pen is
`8\ ft`

The width of the pen is
`6\ ft`