An architecture firm creates blueprints for office buildings. last week, they produced four rectangular blueprints for four different projects. project a: a 20-inch by 15-inch blueprint with a scale of 1 inch to 4 feet and a projected cost of $22,000. project b: a 10-inch by 8-inch blueprint with a scale of 1 inch to 8 feet and a projected cost of $25,000. project c: a 15-inch by 12-inch blueprint with a scale of 1 inch to 6 feet and a projected cost of $27,000. project d: an 8-inch by 6-inch blueprint with a scale of 1 inch to 12 feet and a projected cost of $30,000. order the projects from greatest to least projected cost per square foot of the actual offices. project a project c project b

The order from greatest to least :

Project B > Project  A > Project  D > Project  C

Step-by-step explanation:

Project A : A 20-inch by 15-inch blueprint with a scale of 1 inch to 4 feet and a projected cost of $22,000.

Scale factor =

Length of the office building on blueprint = l =20 inch

Width of the office building on blueprint = b =15 inch

Real length of the office building on blueprint = L

=

L = 80 feet

Real width of the office building on blueprint = B

B = 60 feet

Area of the building =

Cost of project = $22,000

Cost of project per square foot =

Project B : A 10-inch by 8-inch blueprint with a scale of 1 inch to 8 feet and a projected cost of $25,000.

Scale factor =

Length of the office building on blueprint = l =10 inch

Width of the office building on blueprint = b =8 inch

Real length of the office building on blueprint = L

=

L = 80 feet

Real width of the office building on blueprint = B

B = 64 feet

Area of the building =

Cost of project = $25,000

Cost of project per square foot =

Project C : A 15-inch by 12-inch blueprint with a scale of 1 inch to 6 feet and a projected cost of $27,000.

Scale factor =

Length of the office building on blueprint = l =15 inch

Width of the office building on blueprint = b =12 inch

Real length of the office building on blueprint = L

=

L = 90 feet

Real width of the office building on blueprint = B

B = 72 feet

Area of the building =

Cost of project = $27,000

Cost of project per square foot =

Project D :An 8-inch by 6-inch blueprint with a scale of 1 inch to 12 feet and a projected cost of $30,000

Scale factor =

Length of the office building on blueprint = l = 8 inch

Width of the office building on blueprint = b =6 inch

Real length of the office building on blueprint = L

=

L = 96 feet

Real width of the office building on blueprint = B

B = 72 feet

Area of the building =

Cost of project = $27,000

Cost of project per square foot =

Project B > Project  A > Project  D > Project  C

c: lkllmn.

hope it's you

d. 8

step-by-step explanation:

the given radical expression is:

we can rewrite this as:

we express as square numbers to get;

the exponents will now cancel out to give.

the correct answer is d