The minimum number of bags of seed the contractor needs to buy the to cover the entire lawn is 4
Start by calculating the area of the entire field using:
[tex]Area = Length * Width[/tex] --- area of square
So, we have:
[tex]Area = (18 + 54 + 18)* 28[/tex]
[tex]Area = 2520[/tex]
Next calculate the area of the porch using:
[tex]Area = 0.5 * (L1 + L2) * H[/tex] -- area of trapezium
So, we have:
[tex]Area = 0.5 * (54+ (54 + 18 + 18 - 14 - 14)) * 10[/tex]
[tex]Area = 580[/tex]
The difference between the areas of the entire field and porch is the area of the lawn.
So, we have:
[tex]Lawn= 2520 - 580[/tex]
[tex]Lawn= 1940[/tex]
The above means that, the area of the lawn is 1940 square yards
If one bag of grass covers 600 square yards, then the number of bags that can cover 1940 square yards is:
[tex]n =\frac{1940}{600}[/tex]
[tex]n =3.23[/tex]
Round to the next highest integer
[tex]n =4[/tex]
Hence, the minimum number of bags of seed is 4 bags
Read more about areas at:
https://brainly.com/question/18019422
