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

Answer:

The length of the dog park is 74 feet.

Step-by-step 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

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

$160=20x-20$

$x=\dfrac{160+20}{20}$

$x=9$

We need to calculate the length of the dog park

Using equation (I)

$l=8x+2$

Put the value of x

$l=8\times9+2$

$l=74\ feet$

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