Question

You are a contractor who is installing new windows. You are working on a house that has 6 windows that are each 3 feet by 4 feet.

If the glass for the windows costs $0.05 per square inch, approximately how much money will the glass cost for all of the window installations?

A.
$36
B.
$43
C.
$432
D.
$518

Answer 1

D. $518

Explanation:

convert to inches

3ft=36in, 4ft=48in

36 x 48 = 1728 in^2

there are 6 windows so

1728 x 6 = 10368 in^2

each square inch costs $0.05

so 10368 x 0.05 = $518.4 ≈ $518

Answer 2

D. $518

Explanation:

We know that the windows are 3ft by 4ft, find the area:

A = L * W

A = 3ft * 4ft

A = 12 sq ft

12 sq ft is the area of each window in the house

Now multiply the amount of windows in the house by the 12 sqft:

12 sqft * 6

72 sq ft

The combined area of all 6 windows are 72 sqft. Now since 1 sqft is equal to 144 sq inches, simply convert the square feet into squared inches:

72 * 144

10,368 squared inches

Since each square inch costs 0.05 cents, multiply the amount of square inches by the cost of each square inch:

0.05 * 10,368

$518.4

Since D. is the closest value, that would be our answer.