Question

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 1

Answer : The area of the 12 equal long pieces is,
`(455)/(6144)in^2`

Step-by-step explanation :

As we are given that:

Width of rectangle =
`1(5)/(8)in=(13)/(8)in`

Length of rectangle =
`8(3)/(4)in=(35)/(4)in`

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 =
`(13)/(8)-((13)/(8)* (3)/(4))=(13)/(8)* (1)/(4)=(13)/(32)in`

New length =
`(35)/(4)-((35)/(4)* (3)/(4))=(35)/(4)* (1)/(4)=(35)/(16)in`

Now student cuts in 12 equal long pieces.

New length =
`((35)/(16)in)/(12)=(35)/(192)in`

New width =
`(13)/(32)in`

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

Area of rectangle = Length × Width

Area of rectangle =
`(35)/(192)in* (13)/(32)in`

Area of rectangle =
`(455)/(6144)in^2`

Therefore, the area of the 12 equal long pieces is,
`(455)/(6144)in^2`