a brick wall is 42'-4'' long and 18'-7''high.there are 2 openings each 3'-2'' X 7'-2''.what is the net are of the wall to the nearer thousandth sq foot?
convert the measurements to decimal..
42'4'= 42 4/12 = 42.3333 ft as an example.
Now compute the areas, subtracting the area of the windows from the wall.
I will be happy to critique your work or thinking
(42X12+2)X(18X12+2)=508X223=113284
(3X12+2)X(7X12+2)=38X86=3268
113284-3268=110016/144=764 sq ft
You calculations are not corect.
(42x12 + 2) = 506
(18x12 + 2) = 218
Take it from there. Within parentheses, multiplication and division are done before addition and subtraction.
The other two are correct. However, the correctness of the third problem depends on the original units used — feet or square feet. Was this from a word problem?
I hope this helps. Thanks for asking.
a brick wall is 42'-4'' long and 18'-7''high.there are 2 openings each 3'-2'' X 7'-2''.what is the net are of the wall to the nearer thousandth sq foot?
(42X12+2)X(18X12+2)=508X223=113284
(3X12+2)X(7X12+2)=38X86=3268
113284-3268=110016/144=764 sq ft>>
In inches, 42'4" is 42x12 +4=508
18'7" is 18x12+7=223
so the first line result is correct (notice your typos in the calcs).
The second line is correct.
The result is correct, except for the decimal. The problem asked for net sq ft to nearest thousandth.....
764.000 would be that answer.
no
I apologize for the confusion earlier. Let's go through the calculations again.
To find the net area of the brick wall, we need to calculate the total area of the wall and subtract the area of the two openings.
First, let's convert the measurements to decimal form:
42'4" = 42 x 12 + 4 = 508 inches
18'7" = 18 x 12 + 7 = 223 inches
Now let's calculate the total area of the wall:
Total area = length x height = 508 inches x 223 inches = 113284 square inches
Next, let's calculate the area of each opening:
Opening 1: 3'2" x 7'2" = (3 x 12 + 2) inches x (7 x 12 + 2) inches = 38 inches x 86 inches = 3268 square inches
Opening 2: 3'2" x 7'2" = 3268 square inches
Now, let's subtract the total area of the openings from the total area of the wall to get the net area:
Net area = Total area - Area of openings = 113284 square inches - 3268 square inches = 110016 square inches
Finally, we can convert the net area from square inches to square feet by dividing by 144:
Net area in square feet = 110016 square inches / 144 = 764 square feet
So the net area of the brick wall is 764 square feet, rounded to the nearest thousandth.