Question

You are helping your dad build a rectangular dog park. The length of the dog park feet can be represented by

8x + 2 and the width in feet can be represented by 2x - 12. If your dad bought 160 feet of fencing
(perimeter), what is the length of the dog park?

Answer 1

The length of the dog park is 74 feet.

Explanation:

Given that,

Length of park = (8x+2)..(I)

Width of park = (2x-12)...(II)

Perimeter = 160 feet

We need to calculate the value of x

Using formula of perimeter of rectangular park

`P=2(l+w)`

Where, l = length

w = width

Put the value into the formula

`160=2(8x+2+2x-12)`

`160=20x-20`

`x=(160+20)/(20)`

`x=9`

We need to calculate the length of the dog park

Using equation (I)

`l=8x+2`

Put the value of x

`l=8*9+2`

`l=74\ feet`

Hence, The length of the dog park is 74 feet.