Angela has a rectangular piece of paper and cuts a rectangle out of a corner. what is the area of the resulting shape?

To answer this question, we will first calculate the area of the original piece of paper then we will calculate the are of the rectangle she cut from the corner. Finally, we will subtract these areas to get the area of the remaining part.

1- For the original rectangle paper:
We have the length = 16 cm and the width = 21 cm
Area1 = length x width = 16 x 21 = 336 cm^2

2- For the rectangle cut from the corner:
We have:
length = 16 - 9 = 7 cm
width = 21 - 6 = 15 cm
Area2 = length x width = 7 x 15 = 105 cm^2

The area of the remaining part can be calculated as follows:
area of remaining part = Area1 - Area2 = 336 - 105 = 231 cm^2