c$++$Program Specifications Write a program to calculate the cost to paint a wall. Amount of required paint is based on the wall area. Total cost includes paint and sales tax.

Note: This program is designed for incremental development. Complete each step and submit for grading before starting the next step. Only a portion of tests pass after each step but confirm progress.

Step $1(2$ pts$).$ Read from input wall height, wall width, and cost of one paint can $($doubles$).$ Calculate and output the wall's area to one decimal place using cout $<<$ fixed $<<$ setprecision$(1)$; once before all other cout statements. Submit for grading to confirm $1$ test passes.

Ex: If the input is:

$12\mathrm{.}015\mathrm{.}029\mathrm{.}95$

the output is:

Wall area: $180\mathrm{.}0$ sq ft

Step $2(2$ pts$).$ Calculate and output the amount of paint needed to three decimal places. One gallon of paint covers $350$ square feet. Submit for grading to confirm $2$ tests pass.

Ex: If the input is:

$12\mathrm{.}015\mathrm{.}029\mathrm{.}95$

the output is:

Wall area: $180\mathrm{.}0$ sq ft Paint needed: $0\mathrm{.}514$ gallons

Step $3(2$ pts$).$ Calculate and output the number of $1$ gallon cans needed to paint the wall. Extra paint may be left over. Hint: Use ceil$()$ to round up to the nearest gallon and convert to an integer. Submit for grading to confirm $4$ tests pass.

Ex: If the input is:

$12\mathrm{.}015\mathrm{.}029\mathrm{.}95$

the output is:

Wall area: $180\mathrm{.}0$ sq ft Paint needed: $0\mathrm{.}514$ gallons Cans needed: $1$ can$($s$)$

Step $4(4$ pts$).$ Calculate and output the paint cost, sales tax of $7\%,$ and total cost. Dollar values are output with two decimal places. Submit for grading to confirm all tests pass.

Ex: If the input is:

$8\mathrm{.}08\mathrm{.}049\mathrm{.}20$

the output is:

Wall area: $64\mathrm{.}0$ sq ft Paint needed: $0\mathrm{.}183$ gallons Cans needed: $1$ can$($s$)$ Paint cost: $$49\mathrm{.}20$ Sales tax: $$3\mathrm{.}44$ Total cost: $$52\mathrm{.}64$