Answer:
1 yard = 36 inches
36 x 36 = 1296 square inches
(8 x 8) x 4 = 256 square inches taken off.
1296 - 256 = 1040 square inches
The finished flag was 1040 square inches
Step-by-step explanation:
Area of the flag made by Nate after cut it from corners of one yard fabric from for corner is 1040 in².
Area of a square is the space occupied by a shape in 2-d plane. Area of square is the square of its sides length. It can be given as,
[tex]A=a^2[/tex]
Here, [tex]a[/tex] is the length of the side of the square.
Here, Nate makes a flag in the shape of a plus sign. The fabric he used is of one yard on each side. It is known that one yard is equal to the 36 inches as,
[tex]\rm 1yard=36in[/tex]
Therefore the total area of the fabric, having all sides equal to 36 inches is equal to the area of 36 in side square. Therefore the total area of the fabric is,
[tex]A_{fabric}=36\times36\\A_{fabric}=1296\rm in^2[/tex]
Now, Nate cuts out 8-inch squares from each of the four corners. Thus the total area of the fabric cut by the Nate is equal to the 4 times of 8 in side square. Thus, total area of the fabric cut by the Nate is,
[tex]A_{cut}=4(8\times8)\\A_{cut}=256\rm in^2[/tex]
The total area of flag after cut it from the corners of flag is,
[tex]A_{flag}=1296-256\\A_{flag}=1040\rm in^2[/tex]
Thus, the area of the flag made by Nate after cut it from corners of one yard fabric from for corner is 1040 in².
Learn more about the area of square here;
https://brainly.com/question/1658516
