The perimeter of the rectangle below is 220 units. find the length of side ad. length ad= 4z length ab= 5z+2

The perimeter of the rectangle ABCD:

P = 2AD + 2AB

We have AD = 4z and AB = 5z + 2 and perimeter = 220 units. Substitute:

2(4z) + 2(5z + 2) = 220     use distributive property

8z + (2)(5z) + (2)(2) = 220

8z + 10z + 4 = 220    subtract 4 from both sides

18z = 216     divide both sides by 18

z = 12 units

Substitute to AD:

AD = 4(12) = 48

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you