Question

the question is on the sheet .The shaded region is the area within the figure but not the corner squares

Answer 1

Based on the information given in the exercise, you know that the shaded region has this area:

`6x^2-2xy+3y^2`

And the area of each square region in the corners is:

`4x^2`

Since there are four square regions, you can multiply that the area of any of them by 4, in order to find the total area of them:

`4(4x^2)=16x^2`

Then, in order to find the total area of the figure, you must add the area of the shaded region and the total area of the square regions:

`(6x^2-2xy+3y^2)+(16x^2)=22x^2^{}-2xy+3y^2`

Therefore, the total of the figure is:

`22x^2-2xy+3y^2`