A piece of paper is in the shape of a rectangle the piece of paper is 1 5/8 inches wide and 8 3/4 inches long a student cuts of 3/4 from width and 3/4 from height she then cuts in 12 equal long pieces what is the area of the 12 equal long pieces

Answer : The area of the 12 equal long pieces is,

Step-by-step explanation :

As we are given that:

Width of rectangle =

Length of rectangle =

When student cuts of 3/4 from width and 3/4 from height then the new width and length of rectangle will be:

New width =

New length =

Now student cuts in 12 equal long pieces.

New length =

New width =

Now we have to calculate the area of the 12 equal long pieces.

Area of rectangle = Length × Width

Area of rectangle =

Area of rectangle =

Therefore, the area of the 12 equal long pieces is,

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47