Section $4\mathrm{.}4$

$7.$ An insurance adjuster needs to calculate the value of an insurance claim to repair the grey siding on the sides of the house shown.

a$.$ Using a pencil, sketch the shapes that you will use to find the area of the siding shown in this picture.

b$.$ Identify the key dimensions needed to find the areas of all the shapes you sketched in part $"$a$."$ The area of each window is $15$ square feet. The area of the door is $21$ square feet.

c$.$ Calculate the total area of the grey siding on the sides of the house shown.

d$.$ Calculate the cost to remove the damaged siding from the house. Contractors charge about $$0\mathrm{.}65$ per square foot to remove and prepare the house for siding.

e$.$ The cost for installed vinyl siding is $$2$ to $$7$ per square foot. This vinyl siding is mid quality and it will cost $$4$ per square foot to replace. What amount should the insurance adjuster write for this claim?